Profit Let XNP is the number of personal computers produced in New York, XLP is the number of personal computers produced in Los Angeles, XNV is the number VAXes in New York and XLV is the number of VAXes in Los Angeles and L is the labour hours. The new optimum solution value or profit is calculated by the given formula: New value = Old value – ( Key column value × Key row value ) / Key value The key row value can be calculated by the given formula: Key row value = Current key row value / Key element value From the LINDO output, here the old optimum value is 1,360,000. Hence the new value is: New value = 1,360,000 - 1000 ( 313 .333 ) = 1,046,667

Question

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Answer 1

Expert Solution & Answer

Chapter 5, Problem 1RP

a.

Explanation of Solution

Profit

Let XNP is the number of personal computers produced in New York, XLP is the number of personal computers produced in Los Angeles, XNV is the number VAXes in New York and XLV is the number of VAXes in Los Angeles and L is the labour hours.

The new optimum solution value or profit is calculated by the given formula:
New value = Old value – (Key column value × Key row value) / Key value

The key row value can be calculated by the given formula:

Key row value = Current key row value / Key element value

From the LINDO output, here the old optimum value is 1,360,000.

Hence the new value is:

New value = 1,360,000 - 1000 (313.333) = 1,046,667

b.

Explanation of Solution

Increasing capacity

“Yes”, HAL should hire the contractor if the capacity is increased to 850 computers at a cost of 5000.

Reason

From the LINDO output, the dual price in row 2 is 133.333.

When the capacity is increased to 850 computers, then the profit should be increased by 850(133.333).

This means the profit value should be greater than 5000.

Hence the capacity should be increased and here the allowable increase is 100.

Hence HAL should hire the contractor in order to increase the capacity.

c.

Explanation of Solution

Profit

The new optimum solution value is calculated by the given formula:
New value = Old value – (Key column value × Key row value) / Key value

The key row value can be calculated by the given formula:

Key row value = Current key row value / Key element value

From the LINDO output, the reduced cost for XLV is 33.333.

Hence the profit of VAX can be increased by 33.333 in order to produce VAXes in Los Angeles.

d.

Explanation of Solution

Extra labour cost

Let L be the number of labour hours.

Here the labour is purchased at a cost of 20 per hour.

Here the Key value is 313.333.

Hence the extra labour cost = 313.333 + 20 = 333.33

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The WIX Company Civil Engineers consists of two divisions. The divisions are Water and Waste Water. The company sells engineering services to various customers. The following are the bill rates for the various staff classifications: Vice President $200/hour Senior Engineer $180/hour Staff Engineer $150/hour. The two divisions expect to bill the following hours: Water- 10000 hours, vice president at 10% of the time, 30% of Senior Engineer time and remaining to Staff Engineers. Waste Water- 6000 hours, vice president at 20% of the time, 20% of Senior Engineer time and remaining to Staff Engineers. The Direct Labor costs per hours are as follows: Vice President $80/hour Senior Engineer $60/hour Staff Engineer $40/hour. The utilization for each staff members are as follows: Vice President 60% Senior Engineer 80% Staff Engineer 90%. The company has the following other costs: Admin Salaries $90,000 Rent $100,000 Utilities $6,000 Benefits $76,000 Assume 20% of time for each staff member…

Answer 2

Expert Solution & Answer

Chapter 5, Problem 1RP

a.

Explanation of Solution

Profit

Let XNP is the number of personal computers produced in New York, XLP is the number of personal computers produced in Los Angeles, XNV is the number VAXes in New York and XLV is the number of VAXes in Los Angeles and L is the labour hours.

The new optimum solution value or profit is calculated by the given formula:
New value = Old value – (Key column value × Key row value) / Key value

The key row value can be calculated by the given formula:

Key row value = Current key row value / Key element value

From the LINDO output, here the old optimum value is 1,360,000.

Hence the new value is:

New value = 1,360,000 - 1000 (313.333) = 1,046,667

b.

Explanation of Solution

Increasing capacity

“Yes”, HAL should hire the contractor if the capacity is increased to 850 computers at a cost of 5000.

Reason

From the LINDO output, the dual price in row 2 is 133.333.

When the capacity is increased to 850 computers, then the profit should be increased by 850(133.333).

This means the profit value should be greater than 5000.

Hence the capacity should be increased and here the allowable increase is 100.

Hence HAL should hire the contractor in order to increase the capacity.

c.

Explanation of Solution

Profit

The new optimum solution value is calculated by the given formula:
New value = Old value – (Key column value × Key row value) / Key value

The key row value can be calculated by the given formula:

Key row value = Current key row value / Key element value

From the LINDO output, the reduced cost for XLV is 33.333.

Hence the profit of VAX can be increased by 33.333 in order to produce VAXes in Los Angeles.

d.

Explanation of Solution

Extra labour cost

Let L be the number of labour hours.

Here the labour is purchased at a cost of 20 per hour.

Here the Key value is 313.333.

Hence the extra labour cost = 313.333 + 20 = 333.33

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Answer 3

Expert Solution & Answer

Chapter 5, Problem 1RP

a.

Explanation of Solution

Profit

Let XNP is the number of personal computers produced in New York, XLP is the number of personal computers produced in Los Angeles, XNV is the number VAXes in New York and XLV is the number of VAXes in Los Angeles and L is the labour hours.

The new optimum solution value or profit is calculated by the given formula:
New value = Old value – (Key column value × Key row value) / Key value

The key row value can be calculated by the given formula:

Key row value = Current key row value / Key element value

From the LINDO output, here the old optimum value is 1,360,000.

Hence the new value is:

New value = 1,360,000 - 1000 (313.333) = 1,046,667

b.

Explanation of Solution

Increasing capacity

“Yes”, HAL should hire the contractor if the capacity is increased to 850 computers at a cost of 5000.

Reason

From the LINDO output, the dual price in row 2 is 133.333.

When the capacity is increased to 850 computers, then the profit should be increased by 850(133.333).

This means the profit value should be greater than 5000.

Hence the capacity should be increased and here the allowable increase is 100.

Hence HAL should hire the contractor in order to increase the capacity.

c.

Explanation of Solution

Profit

The new optimum solution value is calculated by the given formula:
New value = Old value – (Key column value × Key row value) / Key value

The key row value can be calculated by the given formula:

Key row value = Current key row value / Key element value

From the LINDO output, the reduced cost for XLV is 33.333.

Hence the profit of VAX can be increased by 33.333 in order to produce VAXes in Los Angeles.

d.

Explanation of Solution

Extra labour cost

Let L be the number of labour hours.

Here the labour is purchased at a cost of 20 per hour.

Here the Key value is 313.333.

Hence the extra labour cost = 313.333 + 20 = 333.33

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Answer 4

Expert Solution & Answer

Chapter 5, Problem 1RP

a.

Explanation of Solution

Profit

Let XNP is the number of personal computers produced in New York, XLP is the number of personal computers produced in Los Angeles, XNV is the number VAXes in New York and XLV is the number of VAXes in Los Angeles and L is the labour hours.

The new optimum solution value or profit is calculated by the given formula:
New value = Old value – (Key column value × Key row value) / Key value

The key row value can be calculated by the given formula:

Key row value = Current key row value / Key element value

From the LINDO output, here the old optimum value is 1,360,000.

Hence the new value is:

New value = 1,360,000 - 1000 (313.333) = 1,046,667

b.

Explanation of Solution

Increasing capacity

“Yes”, HAL should hire the contractor if the capacity is increased to 850 computers at a cost of 5000.

Reason

From the LINDO output, the dual price in row 2 is 133.333.

When the capacity is increased to 850 computers, then the profit should be increased by 850(133.333).

This means the profit value should be greater than 5000.

Hence the capacity should be increased and here the allowable increase is 100.

Hence HAL should hire the contractor in order to increase the capacity.

c.

Explanation of Solution

Profit

The new optimum solution value is calculated by the given formula:
New value = Old value – (Key column value × Key row value) / Key value

The key row value can be calculated by the given formula:

Key row value = Current key row value / Key element value

From the LINDO output, the reduced cost for XLV is 33.333.

Hence the profit of VAX can be increased by 33.333 in order to produce VAXes in Los Angeles.

d.

Explanation of Solution

Extra labour cost

Let L be the number of labour hours.

Here the labour is purchased at a cost of 20 per hour.

Here the Key value is 313.333.

Hence the extra labour cost = 313.333 + 20 = 333.33

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Answer 5

Expert Solution & Answer

Answer 6

Expert Solution & Answer

Answer 7

Chapter 5, Problem 1RP

a.

Explanation of Solution

Profit

Let XNP is the number of personal computers produced in New York, XLP is the number of personal computers produced in Los Angeles, XNV is the number VAXes in New York and XLV is the number of VAXes in Los Angeles and L is the labour hours.

The new optimum solution value or profit is calculated by the given formula:
New value = Old value – (Key column value × Key row value) / Key value

The key row value can be calculated by the given formula:

Key row value = Current key row value / Key element value

From the LINDO output, here the old optimum value is 1,360,000.

Hence the new value is:

New value = 1,360,000 - 1000 (313.333) = 1,046,667

b.

Explanation of Solution

Increasing capacity

“Yes”, HAL should hire the contractor if the capacity is increased to 850 computers at a cost of 5000.

Reason

From the LINDO output, the dual price in row 2 is 133.333.

When the capacity is increased to 850 computers, then the profit should be increased by 850(133.333).

This means the profit value should be greater than 5000.

Hence the capacity should be increased and here the allowable increase is 100.

Hence HAL should hire the contractor in order to increase the capacity.

c.

Explanation of Solution

Profit

The new optimum solution value is calculated by the given formula:
New value = Old value – (Key column value × Key row value) / Key value

The key row value can be calculated by the given formula:

Key row value = Current key row value / Key element value

From the LINDO output, the reduced cost for XLV is 33.333.

Hence the profit of VAX can be increased by 33.333 in order to produce VAXes in Los Angeles.

d.

Explanation of Solution

Extra labour cost

Let L be the number of labour hours.

Here the labour is purchased at a cost of 20 per hour.

Here the Key value is 313.333.

Hence the extra labour cost = 313.333 + 20 = 333.33

Answer 8

Chapter 5, Problem 1RP

a.

Explanation of Solution

Profit

Let XNP is the number of personal computers produced in New York, XLP is the number of personal computers produced in Los Angeles, XNV is the number VAXes in New York and XLV is the number of VAXes in Los Angeles and L is the labour hours.

The new optimum solution value or profit is calculated by the given formula:
New value = Old value – (Key column value × Key row value) / Key value

The key row value can be calculated by the given formula:

Key row value = Current key row value / Key element value

From the LINDO output, here the old optimum value is 1,360,000.

Hence the new value is:

New value = 1,360,000 - 1000 (313.333) = 1,046,667

Answer 9

Chapter 5, Problem 1RP

a.

Explanation of Solution

Profit

Let XNP is the number of personal computers produced in New York, XLP is the number of personal computers produced in Los Angeles, XNV is the number VAXes in New York and XLV is the number of VAXes in Los Angeles and L is the labour hours.

The new optimum solution value or profit is calculated by the given formula:
New value = Old value – (Key column value × Key row value) / Key value

The key row value can be calculated by the given formula:

Key row value = Current key row value / Key element value

From the LINDO output, here the old optimum value is 1,360,000.

Hence the new value is:

New value = 1,360,000 - 1000 (313.333) = 1,046,667

Answer 10

b.

Explanation of Solution

Increasing capacity

“Yes”, HAL should hire the contractor if the capacity is increased to 850 computers at a cost of 5000.

Reason

From the LINDO output, the dual price in row 2 is 133.333.

When the capacity is increased to 850 computers, then the profit should be increased by 850(133.333).

This means the profit value should be greater than 5000.

Hence the capacity should be increased and here the allowable increase is 100.

Hence HAL should hire the contractor in order to increase the capacity.

Answer 11

b.

Explanation of Solution

Increasing capacity

“Yes”, HAL should hire the contractor if the capacity is increased to 850 computers at a cost of 5000.

Reason

From the LINDO output, the dual price in row 2 is 133.333.

When the capacity is increased to 850 computers, then the profit should be increased by 850(133.333).

This means the profit value should be greater than 5000.

Hence the capacity should be increased and here the allowable increase is 100.

Hence HAL should hire the contractor in order to increase the capacity.

Answer 12

c.

Explanation of Solution

Profit

The new optimum solution value is calculated by the given formula:
New value = Old value – (Key column value × Key row value) / Key value

The key row value can be calculated by the given formula:

Key row value = Current key row value / Key element value

From the LINDO output, the reduced cost for XLV is 33.333.

Hence the profit of VAX can be increased by 33.333 in order to produce VAXes in Los Angeles.

Answer 13

c.

Explanation of Solution

Profit

The new optimum solution value is calculated by the given formula:
New value = Old value – (Key column value × Key row value) / Key value

The key row value can be calculated by the given formula:

Key row value = Current key row value / Key element value

From the LINDO output, the reduced cost for XLV is 33.333.

Hence the profit of VAX can be increased by 33.333 in order to produce VAXes in Los Angeles.

Answer 14

d.

Explanation of Solution

Extra labour cost

Let L be the number of labour hours.

Here the labour is purchased at a cost of 20 per hour.

Here the Key value is 313.333.

Hence the extra labour cost = 313.333 + 20 = 333.33

Answer 15

d.

Explanation of Solution

Extra labour cost

Let L be the number of labour hours.

Here the labour is purchased at a cost of 20 per hour.

Here the Key value is 313.333.

Hence the extra labour cost = 313.333 + 20 = 333.33

Answer 16

Ch. 5.1 - Prob. 1P Ch. 5.1 - Prob. 2P Ch. 5.1 - Prob. 3P Ch. 5.1 - Prob. 4P Ch. 5.1 - Prob. 5P Ch. 5.2 - Prob. 1P Ch. 5.2 - Prob. 2P Ch. 5.2 - Prob. 3P Ch. 5.2 - Prob. 4P Ch. 5.2 - Prob. 5P

Concept explainers

Explanation of Solution

Explanation of Solution

Explanation of Solution

Explanation of Solution

Extra labour cost

Let L be the number of labour hours.

Here the labour is purchased at a cost of 20 per hour.

Here the Key value is 313.333.

Hence the extra labour cost = 313.333 + 20 = 333.33

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Chapter 5 Solutions

Concept explainers

Explanation of Solution

Explanation of Solution

Explanation of Solution

Explanation of Solution

Extra labour cost Let L be the number of labour hours. Here the labour is purchased at a cost of 20 per hour. Here the Key value is 313.333. Hence the extra labour cost = 313.333 + 20 = 333.33

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Chapter 5 Solutions

Extra labour cost

Let L be the number of labour hours.

Here the labour is purchased at a cost of 20 per hour.

Here the Key value is 313.333.

Hence the extra labour cost = 313.333 + 20 = 333.33