12. A company has limited material (10,000 kg) and labour (2,000 hours)for the coming period and is using linear programming to determinethe optimal production plan.Details of its two products are as follows:ProductMaterial (£2 per kg)Labour (£20 per hour)Fixed overhead per unitProfit per unitSelling priceOriginal budgeted production 3,000 2,000Let:q = number of product Q mader = number of product R made.What is the objective function?(a) 40q+ 25r(b) 26q+14r(c) 10q + 9r(d) 14q+ 11r6201040R£402951025

The real-valued function whose value is to be, depending on the restrictions, either minimised or…

Answered: 12. A company has limited material…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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13. The Bi-Product Company produces two products (A and B) that are similar in terms of labor con- tent and skills required. Company management wishes to "level" the number of employees needed each day so no hiring or layoffs will be required during the year. A complication to this problem is that the number of working days in each quarter varies. Demand Quarter Product A Product B Working Days 1 9,800 14,500 68 2 12,000 30,000 56 3 14,000 19,500 62 4 31,000 25,000 58 Beginning inventory: 2,400 units of Product A 900 units of Product B Inventory holding cost: $10 per unit per quarter (either product) No back orders allowed No variations in size of workforce allowed Output rate=25 units of either product per day per employee a. What daily production rate will be required to meet the demand forecast and yield zero in- ventory at the end of quarter 4? b. How many employees will be required each day? What are the inventory levels each quarter?
1. Cox Electric makes electronic components and has estimated the following for a new design of one of its products. Fixed cost = $24,375 Material cost per unit = $0.17 Labor cost per unit = $0.12 Revenue per unit = $0.68 Note that fixed cost is incurred regardless of the amount produced. Per-unit material and labor cost together make up the variable cost per unit. Assuming that Cox Electric sells all that it produces, profit is calculated by subtracting the fixed cost and total variable cost from total revenue. Construct an appropriate spreadsheet model to find the profit based on a given production level and use the spreadsheet model to answer these questions. a. Construct a one-way data table with production volume as the column input and profit as the output. Breakeven occurs when profit goes from a negative to a positive value; that is, breakeven is when total revenue = the total cost, yielding a profit of zero. Vary production volume from 0 to 100,000 in increments of 10,000.…
2. If the fixed costs are NOK 50,000 and the variable cost can be expressed as VC(Q) = NOK 10Q where Q is the quantity. What price per unit (in kroner) must be set in order to obtain a margin of safety of 10% for the quantity of 5,000? dont answer from the answers in chegg they are all wrong.
. Problems and Applications Q8 Suppose that in a year an American worker can produce 80 shirts or 20 computers and a Chinese worker can produce 60 shirts or 20 computers. There are 1 million workers in each country. Use the blue line (circle symbol) to graph the production possibilities frontier (PPF) for the United States, and use the green line (triangle symbol) to graph the production possibilities frontier for China.
F 16. A company must produce 100,000 units of a new product over the course of a year. Starting a new production cycle cost $1,000. The product cost $10 to make and retail for $30. It costs $5 to store a toy for a year. How many batches should the factory produce for the minimum total production cost? 1. 10 2. 5 3. 15 4. 12
5.20
11. for the year 2020, company a implemented a strategy of horizontal integration. on this action, they were expecting a 5,000,000 return of investment within a year. now, on the third quarter of the year they started, company a decided to evaluate their strategy. on this situation, what should be the amount writteen within their expected result? a. 414,666 b. 2,500,000 c. 625,000 d. 1,250,000
A20
NO. 5 Jenny Company produces two types of pants: long pants and short pants. The cost of making a pair of short pants and a pair of long pants are RM 75 and RM 95 respectively. In one week, the company must produce at least 150 pants of cach type. The minimum weekly production is 500 pants. The short pants is sold for RM 120 cach and the long pants for RM 150 cach. Using the graphical method, find: a) The number of short pants and long pants to be made in a week in order to minimize the total production cost. b) The profit made at the minimum weekly production cost.
For a certain civil engineering system, it is sought to maximize the benefits, which is given by the expression: Z=3x+5y. The decision variables are x (the amount of resource type 1 to be used) and y (the amount of resource type 2 to be used). • The amount of resource type 1 should be at least 3 units. • The amount of resource type 2 should be at least 3 units. The difference between the amount of ● resource type 2 and the amount resource type 1 should not exceed 6. • The total amount of resource types 1 and 2 should not exceed 12 units. a. Identify the obiective function for this problem. b. Identify and write the constraints. c. Provide a sketch graph for the constraint set. d. Clearly show the feasible region. e. Label all extreme points (or vertices) of the feasible region and indicate their coordinates. f. Solve the optimization problem.
Abdullah is looking to invest for the next three years. He is looking to invest OMR 7500 today in a bank CD that will earn interest at 5.75 percent annually. How much will he have at the end of three years? Select one: O a. 8681 OMR b. 8870 OMR O c. 8000 OMR O d. None of these

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