
Concept explainers
Please solve the following problem as a linear program.
My diet requires that all the food I eat come from one of the four “basic food groups” (chocolate cake, ice cream, soda, and cheesecake). At present, the following four foods are available for consumption: brownies, chocolate ice cream, cola, and pineapple cheesecake.Each brownie costs 50¢, each scoop of chocolate ice cream costs 20¢, each bottle of cola costs 30¢, and each piece of pineapple cheesecake costs 80¢. Each day, I must ingest at least 500 calories, 6 oz of chocolate, 10 oz of sugar, and 8 oz of fat. The nutritional content per unit of each food is shown in the following table. Formulate a linear programming model that can be used to satisfy my daily nutritional requirements at minimum cost.


Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 1 images

- Federal Rent-a-Car is putting together a new fleet. It is considering package offers from three car manufacturers. Fred Motors is offering 5 small cars, 5 medium cars, and 10 large cars for $500,000. Admiral Motors is offering 5 small, 10 medium, and 5 large cars for $400,000. Chrysalis is offering 10 small, 5 medium, and 5 large cars for $300,000. Federal would like to buy at least 550 small cars, at least 500 medium cars, and at least 550 large cars. How many packages should it buy from each car maker to keep the total cost as small as possible? |packages | packages |packages Fred Motors Admiral Motors Chrysalis What will be the total cost? 2$arrow_forwardFive to six times a year, Kicker puts on tent sales in various cities throughout Oklahoma and the surrounding states. The tent sales are designed to show Kicker customers new products, engender enthusiasm about those products, and sell soon to be out-of-date products at greatly reduced prices. Each tent sale lasts one day and requires parking lot space to set up the Kicker semitrailer; a couple of show cars; a disc jockey playing music; a tent to sell Kicker merchandise, distribute brochures, and so on. Last year, the Austin, TX tent sale was held in a corner of the parking lot outside the city exhibition hall where the automotive show was in progress. Because most customers were interested more in the new model cars than in the refurbishment of their current cars, foot traffic was low. In addition, customers did not want to carry speakers and amplifiers all the way back to where they had originally parked. Total direct costs for this tent sale were $14,300. Direct costs…arrow_forwardThe Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply. In addition to the fuel cost, American Petroleum Supply charges MBC $225 per order to cover the expenses of delivering and transferring the fuel to MBC's storage tanks. The lead time for a new shipment from American Petroleum is 10 days; the cost of holding a gallon of fuel in the storage tanks is $0.03 per month, or $0.36 per year; and annual fuel usage is 180,000 gallons. MBC buses operate 288 days a year. (a) What is the optimal order quantity for MBC? (b) How frequently should MBC order to replenish the gasoline supply? |---Select--- per ---Select---- (c) The MBC storage tanks have a capacity of 17,500 gallons. Should MBC consider expanding the capacity of its storage tanks? The maximum inventory is (d) What is the reorder point (in gallons)? gallons MBC ---Select--- to expand its storage tanks.arrow_forward
- help pleasearrow_forwardA retail has 8 stores supplied from 4 suppliers, where each supplier supplies different goods. Delivery from the Supplier is in trucks with a capacity of 40,000 units at a cost of $1100 per load plus $100 per delivery to the store. Inventory costs are $0.2 per unit per year. The Supply Chain Manager is considering whether to use direct shipping or Milk Run delivery for 4 stores for each truck in one shipment a) if annual sales in each store are 1000,000 units, which shipping method provides the lower cost b) if the annual sales in each store are 200,000 units, which shipping method provides the lower costarrow_forwardA chef must decide how many chocolate lava cakes to prepare for the upcoming Mother's Day Dinner special. The chef can either prepare 50, 100, or 150 lava cakes. Assume that demand for the lava cakes can be 50, 100, or 150. Each dish costs $5 to make and is priced at for $7 on the menu. Unsold cakes are donated to a nearby charity center. Assume that there is no opportunity cost for lost sales. Which alternative should be chosen based on the maximax criterion?arrow_forward
- Kellpost Cereal Company sells four products: (1)Special L (a low-calorie, high-nutrition cereal); (2)Corn Bran (another low-calorie, high-nutrition cereal);(3) Admiral Smacks (a sugary cereal pitched at thechildren’s market); and (4) Honey Pops (another sweetcereal pitched at the children’s market). Kellpost hassufficient production capacity to produce a total of10,000 boxes of cereal per month. For each of thepast 16 months, Kellpost has kept track of the priceand sales of each product. (These data are listed inthe file P07_72.xlsx.) Market executives believe thatSpecial L and Corn Bran might be substitutes for eachother, as might be Admiral Smacks and Honey Pops.For example, this means that an increase in the priceof Special L might raise the sales of Corn Bran. Thevariable cost of bringing a box of each cereal to mar-ket is as follows: Special L, $2.00; Corn Bran, $2.20;Admiral Smacks, $2.30; Honey Pops, $2.40.a. Use the given information to determine theprice for each cereal that…arrow_forwardGerät Gebrochen (GG) and Gerät Defektes (GD) compete against each other in the Düsseldorf home appliance market. GG and GB tacitly bargain with each other in determining prices to charge. Each firm can either price high or price low If both price high, each receives 50 MM euros. If one prices high and the other prices low, the low-priced firm receives 70 MM euros and the high-priced firm receives 30 MM euros. If both price low, each receives 40 MM euros. Suppose now that pricing is sequential and each firm commits with certainty to a price-matching guarantee. That is, one firm exactly matches the price of the other firm. Both firms compete against each other in a single period. Under this scenario, what prices do GG and GD charge? A. Gerät Gebrochen charges a high price and Gerät Defektes charges a high price B. Gerät Gebrochen charges a low price and Gerät Defektes charges a high price C. Gerät Gebrochen charges a high price and Gerät Defektes charges a low…arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,Operations ManagementOperations ManagementISBN:9781259667473Author:William J StevensonPublisher:McGraw-Hill EducationOperations and Supply Chain Management (Mcgraw-hi...Operations ManagementISBN:9781259666100Author:F. Robert Jacobs, Richard B ChasePublisher:McGraw-Hill Education
- Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage LearningProduction and Operations Analysis, Seventh Editi...Operations ManagementISBN:9781478623069Author:Steven Nahmias, Tava Lennon OlsenPublisher:Waveland Press, Inc.





