The U-Drive Rent-A-Truck company plans to spend $13 million on 320 new vehicles. Each commercial van will cost $35,000, each smalt truck $30,000, and each largetruck 580,000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can thoy buy?They can tuy vans, small trucks, and large trucks

Given data: Plans to spend = $13 M for number of vehicles = 320 new vehicles Let us denote…

The U-Drive Rent-A-Truck company plans to spend $13 milion on 320 new vehicles. Each commercial van will cost $35,000, each small truck $30,000, and each large truck $80,000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy? Thoy can buy vans, small trucks, and large trucks

The U-Drive Rent-A-Truck company plans to spend $13 milion on 320 new vehicles. Each commercial van will cost $35,000, each small truck $30,000, and each large truck $80,000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy? Thoy can buy vans, small trucks, and large trucks

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 73P

See similar textbooks

Similar questions

Steve's Scooer plans to sell it standard scooter for $500 and it chrome for $650. Steve purchases the standard scooter for $150 and Chrome for $250. Steve expects to sell one standard scooter for every three chrome scooter. Steve's monthly fixed cost are $263000. How many of each scooter must Steve sell each month to break even? and how many of each scooter must Steve sell each month to earn $697000?
Can you show how to put it in Excel? XYZ store sells regular and premium nut mixes. Premium mix contains three quarters pound of cashews and one quarter of peanuts, and the regular mix has half pound of cashews and half pound peanuts per bag. The shop has 200 pounds of cashews and 300 pounds of peanuts to work with. Cashews cost $1.50 per pound, and peanuts cost 60 cents per pound. Premium mix will sell for $2.90 per pound, and the standard mix will sell for $2.55 per pound. The owner esimtes that no more than 200 bags of one types can be sold. What is the best combinations of products that maximizes profits? Make sure to create a feasible solution with countable number of products (no partials)
Hot Breads, a popular baker in Dhaka makes two types of cakes. To make one dozen ofpremium pound cake requires 3 kilos of flour, 1 kilo sugar, and 1 kilo butter. Making one dozenof our best requires 6 kilos of flour, 0.5 kilo of sugar, and 1 kilo of butter. Hot bread has in itsstock 150 kilograms of flour, 22 kilograms of sugar, and 27.5 kilograms of butter. The premiumcakes sell for 20 taka per dozen and our best sells for 30 taka per dozen. How many dozens ofeach cake Hot Breads should make to maximize revenue?a. Write the information given in the question in a tabular format.b. Write the problem in a linear programming format.c. Indentify the feasible zone.d. Find the revenue maximizing levels of production for scrapers and brushes.e. Is there any excess capacity in any machine?f. Find the amount of excess capacity.
A small candy shop is preparing for the holiday season. The owner must decide how many bags of deluxe mix and how many bags of standard mix of Peanut/Raisin Delite to put up. The deluxe mix has .70 pounds of raisins and .30 pounds of peanuts, and the standard mix has 0.45 pounds of raisins and 0.55 pounds of peanuts per bag. The shop has 90 pounds of raisins and 60 pounds of peanuts to work with. Peanuts cost $0.6 per pound and raisins cost $1.55 per pound. The deluxe mix will sell for $2.9 for a one-pound bag, and the standard mix will sell for $2.55 for a one-pound bag. The owner estimates that no more than 110 bags of one type can be sold. a. If the goal is to maximize profits, how many bags of each type should be prepared? b. What is the expected profit?
Family Furniture manufactures two products: Chairs and Sofas. The following data are available: Chairs Sofas Sales price $540 $730 Variable costs $360 $375 The company can manufacture 3 chairs per machine hour or 2 sofa(s) per machine hour. The company's production capacity is 900 machine hours per month. To maximize profits, what product and how many units should the company produce in a month?
Carlo and Anita make mailboxes and toys in their craft shop near Lincoln. Each mailbox requires 1 hour of work from Carlo and 1 hourfrom Anita. Each toy requires 1 hour of work from Carlo and 4 hoursfrom Anita. Carlo cannot work more than 6 hours per week and Anita cannot work more than 12 hours per week. If each mailbox sells for $12 and each toy sells for $23, then how many of each should they make to maximize their revenue? What is their maximum revenue? Carlo and Anita should make, x mailboxes and y toys. Their maximum revenue is:
Wallace Company makes and sells a single product. Each unit of product requires two hours of labor with a wage rate of $8 per hour. The company has budgeted to sell 8,000 units and to produce 10,000 units during the current month. The product requires three pounds of material for each unit produced. Budgeted direct labor costs for the current month would be: $192,000 $128,000 $80,000 $64,000 $160,000
Information on a business is given below.Variable Expenses:Raw material expense: 250 TL / pieceAuxiliary equipment expense: 150 TL / pieceElectricity expenses: 100 TL / pieceSpare parts expense: 75 TL / pieceOther variable expenses: 125 TL / pieceFixed costs:Depreciation, interest and insurance expenses: 75 000 TLLabor and personnel expenses: 250 000 TLOther fixed expenses: 115 000 TLProduction capacity: 2000 pcs / monthSale price: 1600 TL / pieceAccording to the above,a) Find the break-even point as the production quantity?b) Find the amount that the business has to produce in order to make a profit of 500 000 TL / month?
A small candy shop is preparing for the holiday season. The owner must decide how many bags of deluxe mix and how many bags of standard mix of Peanut/Raisin Delite to put up. The deluxe mix has 2/3 pound raisins and 1/3 pound peanuts, and the standard mix has 1/2 pound raisins and 1/2 pound peanuts per bag. The shop has 90 pounds of raisins and 60 pounds of peanuts to work with. Peanuts cost $.60 per pound and raisins cost $1.50 per pound. The deluxe mix will sell for $4.60 for a one-pound bag, and the standard mix will sell for $4.10 for a one-pound bag. The owner estimates that no more than 270 bags of one type can be sold. a. If the goal is to maximize profits, how many bags of each type should be prepared? b. What is the expected profit?
A small candy shop is preparing for the holiday season. The owner must decide how many bags of deluxe mix and how many bags of standard mix of Peanut/Raisin Delite to put up. The deluxe mix has 2/3 pound raisins and 1/3 pound peanuts, and the standard mix has 1/2 pound raisins and 1/2 pound peanuts per bag. The shop has 90 pounds of raisins and 60 pounds of peanuts to work with. Peanuts cost $.60 per pound and raisins cost $1.50 per pound. The deluxe mix will sell for $4.00 for a one-pound bag, and the standard mix will sell for $3.55 for a one-pound bag. The owner estimates that no more than 210 bags of one type can be sold. a. If the goal is to maximize profits, how many bags of each type should be prepared? Deluxe _____bags Standard ______bags b. What is the expected profit? Profit ________
A small candy shop is preparing for the holiday season. The owner must decide how many bags ofdeluxe mix and how many bags of standard mix of Peanut/Raisin Delite to put up. The deluxe mixhas 2⁄3 pound raisins and 1⁄3 pound peanuts, and the standard mix has 1⁄2 pound raisins and 1⁄2 poundpeanuts per bag. The shop has 90 pounds of raisins and 60 pounds of peanuts to work with.Peanuts cost $.60 per pound and raisins cost $1.50 per pound. The deluxe mix will sell for $2.90for a one-pound bag, and the standard mix will sell for $2.55 for a one-pound bag. The owner estimates that no more than 110 bags of one type can be sold.a. If the goal is to maximize profits, how many bags of each type should be prepared?b. What is the expected profit?
A poultry farmer in Lufyanyama has obtained a loan from the Bank to boost his poultry business. He provides you with data to help him optimize the sales. The data is that Old hens can be bought for K20 each but young one cost K50 each. The old hens lay 30 eggs per week, and young ones 50 eggs per week, each egg being worth 30ngwee. A hen cost K10 per week to feed. If a person has only K800 to spend on hens, how many of each kind should he buy to get a profit of more than K600 per week assuming that he cannot house more than 200 hens? a) Formulate the problem as a linear programming model b) Using the Big M – method, how many hens should he buy of each kind to maximize the profit per week? c) Identify the binding and non-binding constraints and justify your choice