A truck rental company has two types of trucks. Type A has 20 cubic meters of refrigerated space and 40 cubic meters of non-refrigerated space, and type B has 30 cubic metersof refrigerated space and also 30 cubic meters of non-refrigerated space. A food plant must ship 900 cubic meters of refrigerated food and 1200 cubic meters of non-refrigeratedfood. Suppose truck A rents for $0.90 per mile and B for $1.20. Find the number of trucks of each type that the plant should rent so as to minimize cost.Type AType BMinimum CostNote: Input numerical values only.

To solve the problem we first contract the linear programming problem and then solve the problem by…

Answered: A truck rental company has two types of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A confectioner sells two types of nut mixtures. The standard-mixture package contains 100 g of cashews and 200 g of peanuts and sells for $1.90. The deluxe-mixture package contains 150 g of cashews and 50 g of peanuts and sells for $2.35. The confectioner has 15 kg of cashews and 20 kg of peanuts available. On the basis of past sales, the confectioner needs to have at least as many standard as deluxe packages available. How many bags of each mixture should he package to maximize his revenue? bags of standard bags of deluxe
Espresso Express operates a number of espresso coffee stands in busy suburban malls. The fixed weekly expense of a coffee stand is $1,400 and the variable cost per cup of coffee served is $0.61. Required: 1. Fill in the following table with your estimates of the company's total cost and average cost per cup of coffee at the indicated levels of activity. 2. Does the average cost per cup of coffee served increase, decrease, or remain the same as the number of cups of coffee served in a week increases?
A farmer has 165 acres of land suitable for cultivating crops A and B. He has enough seeds available to plant 110 acres of crop A and 115 acres of crop B. Each acre of crop A requires 18 hours of labor, and each acre of crop B requires 19 hours of labor. The farmer has at most 3420 hours of labor available. He expects to make a profit of 130 dollars per acre on crop A and 190 dollars per acre on crop B. How many acres should the farmer plant in order to maximize his profit? acres of crop A, and acres of crop B.
Trans Global Tractor Trailers has decided to spend up to $2,700,000 on a fleet of new trucks, and it is considering three models: the Gigahaul, which has a capacity of 6,000 cubic feet and is priced at $60,000; the Megahaul, with a capacity of 5,000 cubic feet, priced at $50,000; and the Picohaul, with a capacity of 2,000 cubic feet, priced at $40,000. The anticipated annual revenues are $500,000 for each new truck purchased (regardless of size). Trans Global would like a total capacity of up to 234,000 cubic feet and feels that it cannot provide drivers and maintenance for more than 54 trucks.How many of each should it purchase to maximize annual revenue? (Gigahaul, Megahaul, Picohaul) = trucks What is the largest possible revenue it can make? $
An oil supertanker has a deadweight tonnage (the total amount that it can carry in crew, supplies, and cargo) of 300,000 long tons. Assume that the crew and supplies are 15,000 long tons and the rest consists entirely of oil. The density of oil is 53.0629 pounds per cubic foot, 1 cubic foot is 7.4813 gallons, 1 long ton is 2240 pounds, 1 barrel of oil is 42 gallons, and the price of oil is $58.09 per barrel. What is the value of the oil in the tanker?
An online retailer requires three different size containers to package its products for shipment. The costs of these containers A, B, and C, and their capacities are shown as follows: Container A B C Cost ($ each) 4 6 7 Capacity (cu in) 200 400 600 If the retailer orders 2500 containers with a total capacity of 1,100,000 cu in at a cost of $15,000, how many of each are in the order?
Suppose that a company needs 1,500,000 items during a year and that preparation for each production run costs $900. Suppose also that it costs $14 to produce each item and $3 per year to store an item. Use the inventory cost model to find the number of items in each production run so that the total costs of production and storage are minimized.

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