Concept explainers
a)
To determine: The way Company R can maximize the profit.
Linear programming:
It is a mathematical modeling procedure were a linear function is maximized or minimized subject to certain constraints. This method is widely useful in making a quantitative analysis which is essential for making important business decisions.
b)
To change: The model for the new constraint and identify the profit.
Linear programming:
It is a mathematical modeling procedure were a linear function is maximized or minimized subject to certain constraints. This method is widely useful in making a quantitative analysis which is essential for making important business decisions.
c)
To use: The solver table to identify the change in profit due to the change in the price of Luxury Chanelle.
Linear programming:
It is a mathematical modeling procedure were a linear function is maximized or minimized subject to certain constraints. This method is widely useful in making a quantitative analysis which is essential for making important business decisions.
d)
To use: The solver table to identify the change in profit due to the changes in lab time and the availability of the raw material.
Linear programming:
It is a mathematical modeling procedure were a linear function is maximized or minimized subject to certain constraints. This method is widely useful in making a quantitative analysis which is essential for making important business decisions.
e)
To use: The solver table to identify the change in profit due to the change in time required to process luxury brute.
Linear programming:
It is a mathematical modeling procedure were a linear function is maximized or minimized subject to certain constraints. This method is widely useful in making a quantitative analysis which is essential for making important business decisions.
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Chapter 4 Solutions
PRACTICAL MGT. SCIENCE (LL)-W/MINDTAP
- The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.arrow_forward4) The making of rivet holes in structural steel members can be done by 2 methods. The first method consists of laying out the position of the holes in the members and using a drill press costing P100k. The machinist is paid P60 per hour and he can drill 80 holes per hour. The second method makes use of a multiple-punch machine costing P80k. The punch operator is paid P40 an hour and he can punch out 1 hole for 3 seconds. This method also requires an expense of P1.25 per hole to set the machine. (a) if all other costs are assumed equal, what is the total cost for each machine for 10k holes, assuming the total cost of each machine to be charged to these holes? (b) for how many holes will the costs be equal?arrow_forwardA bhaliyaarrow_forward
- Three methods can be used for producing heat sensors for high-temperature furnaces. Method A will have a fixed cost of $140,000 per year and a production cost of $62 per part. Method B will have a fixed cost of $210,000 per year and a production cost of $28 per part. Method C will require the purchase of equipment costing $500,000. It will have a life of five years and a 25% of first cost salvage value. The production cost will be $53 per part. At an interest rate of 10% per year, determine the breakeven annual production rate between the two lowest cost methods.arrow_forwardFRUIT COMPUTER COMPANY Fruit Computer Company manufactures memory chips in batches of ten chips. From past experience, Fruit knows that 80% of all batches contain 10% (1 out of 10) defective chips, and 20% of all batches contain 50% (5 out of 10) defective chips. If a good (that is, 10% defective) batch of chips is sent to the next stage of production, processing costs of $4000 are incurred, and if a bad batch (50% defective) is sent on to the next stage of production, processing costs of $16000 are incurred. Fruit also has the alternative of reworking a batch at a cost of $4000. A reworked batch is sure to be a good batch. Alternatively, for a cost of $400, Fruit can test one chip from each batch in an attempt to determine whether the batch is defective. QUESTIONS 1.Determine a strategy so Fruit can minimize the expected total cost per batch. 2.Compute the EVSI and EVPI.arrow_forwardDigital Controls, Inc. (DCI), manufactures two models of a radar gun used by police to monitor the speed of automobiles. Model A has an accuracy of plus or minus 1 mile per hour, whereas the smaller model B has an accuracy of plus or minus miles per hour. For the next week, the company has orders for 100 units of model A and 150 units of model B. Although DCI purchases all the electronic components used in both models, the plastic cases for both models are manufactured at a DCI plant in Newark, New Jersey. Each model A case requires 4 minutes of injection-molding time and 6 minutes of assembly time. Each model B case requires 3 minutes of injection-molding time and 8 minutes of assembly time. For next week, the Newark plant has 600 minutes of injection-molding time available and 1,080 minutes of assembly time available. The manufacturing cost is $10 per case for model A and $6 per case for model B. Depending upon demand and the time available at the Newark plant, DCI occasionally…arrow_forward
- Memanarrow_forwardA manufacturer has a production facility that requires 10,237 units of component JY21 per year. Following a long-term contract, the manufacturer purchases component JY21 from a supplier with a lead time of 6 days. The unit purchase cost is $31.4 per unit. The cost to place and process an order from the supplier is $168 per order. The unit inventory carrying cost per year is 12.2 percent of the unit purchase cost. The manufacturer operates 250 days a year. Assume EOQ model is appropriate. If the manufacturer uses a constant order quantity of 1,053 units per order, what is the annual holding cost? Use at least 4 decimal places.arrow_forwardA company owns a 5-year-old turret lathe that has a book value of $23,000. The present market value for the lathe is $18,000. The expected decline in market value is $1,700/year to a minimum market value of $4,080; maintenance plus operating costs for the lathe equal $4,470/year.A new turret lathe can be purchased for $46,000 and will have an expected life of 8 years. The market value for the turret lathe is expected to equal $46,000(0.70)k at the end of year k. Annual maintenance and operating cost is expected to equal $1,900. Based on a 12% MARR, should the old lathe be replaced now? Use an equivalent uniform annual cost comparison, a planning horizon of 7 years, and the cash flow approach.EUAC for keeping old turret lathe: $EUAC for replacing turret lathe: $arrow_forward
- The Decision Sciences Department is trying todetermine whether to rent a slow or a fast copier. Thedepartment believes that an employee’s time is worth$15 per hour. The slow copier rents for $4 per hour,and it takes an employee an average of 10 minutes tocomplete copying. The fast copier rents for $15 per hour,and it takes an employee an average of six minutes tocomplete copying. On average, four employees per hourneed to use the copying machine. (Assume the copyingtimes and interarrival times to the copying machineare exponentially distributed.) Which machine shouldthe department rent to minimize expected total cost perhour?arrow_forwardThe Marketing Manager of Dotcom Limited has conducted a market research on the price-demand relationship for its consumer durable Product-V which has been recently launched. The price-demand pattern will be as follows: Price per unit (Rs.) 16.650 16.050 14.400 13.050 Product-V is manufactured in batches of 1.000 units. The production manager of Dotcom Limited has also researched and studies the pattern and believes that 50% of the variable manufacturing cost would have a learning effect. This learning curve effect will continue up to 4.000 units of production at constant rate But after 4.000 units of production unit variable manufacturing cost would be equal to the unit cost at the 4 batch. The manufacturing unit cost of the first batch will be Rs. 6.600 of which only 50% is subjected to learning and experience curve effect. The average unit variable of all 4 batches will be Rs 6.180 The price and maximum contribution at which Dotcom Limited should sell Product-V is: Rs.14,400, Rs.…arrow_forwardYou are asked to help your boss deciding who is considering whether to make or buy a part fora top most demanding product of the company.Your company can make the component for $40 per unit or buy it for $50 per unit from vendor.If the Company decides to make the component, it will require 4 hours of machine time tomake each part. The company has 2,000 hours of machine time available per month. Shouldthe company make or buy the component? How many max parts company can make?________________________________________________________________arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,