A store sells two types of toys, A and B. The store owner pays $8 and $14 for each one unit of toy A and B respectively. One unit of toys A yields a profit of $2 while a unit of toys B yields a profit of $3. The store owner estimates that no more than 2000 toys will be sold every month and he does not plan to invest more than $20,000 in inventory of these toys. How many units of each type of toys should be stocked in order to maximize his monthly total profit?

A store sells two types of toys, A and B. The store owner pays $8 and $14 for each one unit of toy A and B respectively. One unit of toys A yields a profit of $2 while a unit of toys B yields a profit of $3. The store owner estimates that no more than 2000 toys will be sold every month and he does not plan to invest more than $20,000 in inventory of these toys. How many units of each type of toys should be stocked in order to maximize his monthly total profit?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 63P: It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield...

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It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for 125 per pound and leftover amounts of the drug can be sold for 30 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known.
Barbara Flynn sells papers at a newspaper stand for $0.40. The papers cost her $0.30, giving her a $0.10 profit on each one she sells. From past experience Barbara knows that: a) 20% of the time she sells 150 papers. b) 20% of the time she sells 200 papers. c) 30% of the time she sells 250 papers. d) 30% of the time she sells 300 papers. Assuming that Barbara believes the cost of a lost sale to be $0.05 and any unsold papers cost her $0.30 and she orders 250 papers. Use the following random numbers: 14, 4, 13, 9, and 25 for simulating Barbara's profit. (Note: Assume the random number interval begins at 01 and ends at 00.) Based on the given probability distribution and the order size, for the given random number Barbara's sales and profit are (enter your responses for sales as integers and round all profit responses to two decimal places): Random Number Sales Profit 14 4 13 9 25
A 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.
Your County has asked you to analyze the purchase of some dump trucks. Each truck wil cost $45,000 and have an operating and maintaining cost that starts at $15,000 the first year and increases by $ 2,000 per year. Assume the salvage value at the end of year is $9,000 and the interest rate is 12%. Estimate the equivalent annual cost of each truck.
Tom is a habitual shopper at garage sales. Last Saturday he stopped at one where there were several types of used building materials for sale. At the low prices being asked, Tom knew that he could resell the items in another town for a substantial gain. Four things stood in his way: he could only make one round trip to resell the goods; his pickup truck bed would hold only 1200 pounds; the pickup truck bed could hold at most 80 cubic feet of merchandise; and he had only $190 cash with him. He wants to load his truck with the mix of materials that will yield the greatest profit when he resells them. Formulate (define objective function and constraints) and solve this problem (using excel solver) as a linear program.
A firm produces three products. Product A sells for $60; its variable costs are $20. Product B sells for $200; its variable costs are $120. Product C sells for $25; its variable costs are $10. Last year, the firm sold 1000 units of A 2000 units of B, and 10,000 units of C The firm has fixed costs of $320,000 per year. Calculate the break-even point of the firm.
Mamma Temte bakes six pies a day that cost $2 each to produce. On 31% of the days she sells only two pies. On 39% of the days, she sells 4 pies, and on the remaining 30% of the days, she sells all six pies. If Mama Temte sells her pies for $5 each, what is her expected profit for a dayʹs worth of pies? [Assume that any leftover pies are given away.]
A firm sells two products. Product R sells for $20; its variable cost is $6. Product S sells for $50; its variable cost is $30. Product R accounts for 60 percent of the firm’s sales, while S accounts for 40 percent. The firm’s fixed costs are $4 million annually. Calculate the firm’s break-even point
An airline studied the data from their passenger records and noted that their customers turn up only about 95% of the time. A flight can accommodate 40 passengers and each seat costs 4,000 Php. Suppose each passenger books a ticket independently and the airline decides to sell 42 tickets for the flight. If more than 40 show up for the flight , then the extra passengers will be compensated PhP10,000 for rebooking and other expenses. 5. If Profit = Ticket sales-Compensation of Bumped passenger(s). What is the profit if 42 customers show up?
A company has two products, which both sell in quantities of 20. Product A sells for $35/unit with a profit margin of 20%. Product B sells for $50/unit with a profit margin of 13%. Product A has a lost sale probability of 25% when out of stock, and Product B has a lost sale probability of 35% when out of stock. Which product is the more "expensive", in terms of lost sales, if it were to experience a stockout? O No answer text provided. O Product A O They both have the same cost of lost sales same O Product B
Your answer is partially correct. An independent contractor for a transportation company needs to determine whether she should upgrade the vehicle she currently owns or trade her vehicle in to lease a new vehicle. If she keeps her vehicle, she will need to invest in immediate upgrades that cost $5,200 and it will cost $1,300 per year to operate at the end of year that follows. She will keep the vehicle for 5 years; at the end of this period, the upgraded vehicle will have a salvage value of $3,800. Alternatively, she could trade in her vehicle to lease a new vehicle. She estimates that her current vehicle has a trade-in value of $9,800 and that there will be $4,100 due at lease signing. She further estimates that it will cost $2,900 per year to lease and operate the vehicle. The independent contractor's MARR is 11%. Compute the EUAC of both the upgrade and lease alternatives using the insider perspective. Click here to access the TVM Factor Table Calculator. 1943.56 EUAC(keep): $…
Irwin’s sells a particular model of fan, with most of the sales being made in thesummer months. Irwin’s makes a one-time purchase of the fans prior to eachsummer season at a cost of $40 each and sells each fan for $60. Any fans unsoldat the end of the summer season are marked down to $29 and sold in a special fallsale. Virtually all marked-down fans are sold. The following is the number of salesof fans during the past 10 summers: 30, 50, 30, 60, 10, 40, 30, 30, 20, 40.a. Estimate the mean and the variance of the demand for fans each summer.b. Assume that the demand for fans each summer follows a normal distribution,with mean and variance given by what you obtained in part (a). Determine theoptimal number of fans for Irwin’s to buy prior to each summer season.c. Based on the observed 10 values of the prior demand, construct an empiricalprobability distribution of summer demand and determine the optimal numberof fans for Irwin’s to buy based on the empirical distribution.d. Based on your…