Question

An appliance store sells three different types of ovens: small, medium, and large. T medium, and large maximum of 1,000 cubic feet of storage space is available. Each oven takes 1hour of sales time; there is a maximum of 200 hours of sales labor time available for ovens. The small, medium, and large ovens require, respectively, 1, 1, and 2 hours of installation time; a maximum of 280 hours of installer l he small, ovens require, respectively, 3, 5, and 6 cubic feet of storage space; a abor for ovens is available monthly. If the profit made from sales of small, medium

Answer 1

The first part of the question (appliance store) is not complete hence, ignoring that part.

Objective function

Minimize Z = 1X + 1.5Y

ST

X + Y >= 15

15X + 30Y >= 300

7X + 5Y >= 85

X, Y >= 0

The solution is shown below. The optimal solution will be to conduct 10 objective quizzes and 5 recall quizzes. Total time required for grading each student will be 17.5 minutes.

LINDO Eile Edit Solve Reports Window Help Reports Window <untitled> Hininize 11.5Y ST X+Y15 15x 30Y-300 LP OPTINUN FOUND AT STEP OBJECTIVE FUNCTION VALUE 17.50000 ALUE 1) VARIABLE REDUCED COST 0.000000 0.000000 10.000000 5.000000 RO SLACK OR SURPLUS DUAL PRICES -0.500000 -0.033333 0.000000 0.000000 0.000000 10.000000 NO. ITERATIONS-