Chapter 11.7, Problem 58AE

Manufacturing Trucks Mike’s Toy Truck Company manufactures two models of toy trucks, a standard model and a deluxe model. Each standard model requires 2 hours (h) for painting and 3 h for detail work; each deluxe model requires 3 h for painting and 4 h for detail work. Two painters and three detail workers are employed by the company, and each works 40 h per week.

a. Using $x$ to denote the number of standard-model trucks and $y$ to denote the number of deluxe-model trucks, write a system of linear inequalities that describes the possible numbers of each model of truck that can be manufactured in a week.

b. Graph the system and label the corner points.