Formulate but do not solve the problem. The management of Hartman Rent-A-Car has allocated $2.25 million to buy a fleet of new automobiles consisting of compact, intermediate-size, and full-size cars. Compacts cost $18,000 each, intermediate-size cars cost $27,000 each, and full-size cars cost $36,000 each. If Hartman purchases twice as many compacts as intermediate-size cars and the total number of cars to be purchased is 100, determine how many cars of each type will be purchased. (Assume that the entire budget will be used. Let x, y, and z denote the number of compact, intermediate-sized, and full-size cars purchased, respectively.)        = 2,250,000        = x        = 100

WhatYouNeed is an online retailer with operations in Northern Indiana. Their network includes five big warehouses. All of the warehouses are fully automated: packaging is performed by robots on top of electric conveyors. Although the company has saved a lot in labor costs by the use of this packaging line, it has resulted in some excessive waste of material. After some analysis of this waste issue, the company has discovered that the number of product types that are assigned to the packaging line is strongly correlated with the amount of wasted material. Based on this insight, their operations manager has built a mathematical expression that estimates the expected amount of waste from the packaging line as a function of the number of product types in it. The expression is as follows: W = (n-93)2 – (n-88) + 227 In this expression, n is the number of product types you are packing on the line and W is the hourly waste of packaging material (in lbs). Based on this expression, how much will…

Q4: suppose a particular Ford Plant can build Escort at a rate of one every hr., explorer at a rate of one every 1.5 hr and Lincoln navigator at a rate of one every 2 hr. the vehicles get 25, 15 and 10 miles per gallon of fuel respectively and congress mandates that the average fuel economy of vehicles produced at least 18 miles of all per gallon. Ford loses $1000 on each Escort, but makes a profit of $ 5000 on each Explorer and $ 15000 on each Navigator. Formulate this problem to maximize the profit of ford in one 8 hr-day.

For nearly 20 years, Cullumber Coatings has provided painting and galvanizing services for manufacturers in its region. Manufacturers of various metal products have relied on the quality and quick turnaround time provided by Cullumber Coatings and its 20 skilled employees. During the past year, as a result of a sharp upturn in the economy, the company’s sales have increased by 30% relative to the previous year. The company has not been able to increase its capacity fast enough, so Cullumber Coatings has had to turn work away because it cannot keep up with customer requests.Top management is considering the purchase of a sophisticated robotic painting booth. The booth would represent a considerable move in the direction of automation versus manual labour. If Cullumber Coatings purchases the booth, it would most likely lay off 15 of its skilled painters. To analyze the decision, the company compiled production information from the most recent year and then prepared a parallel compilation…