Linear Programming Word Problem

Question

Maddie Moo’s Ice Cream Inc. makes two flavors, vanilla and chocolate. Each day, the company can make up to 1000 quarts of ice cream, and the sales department can sell up to 800 quarts of vanilla and up to 600 quarts of chocolate. Past sales data suggest that in the first quarter of the year, Maddie Moo’s profits $0.10 per quart for vanilla and $0.13 per quart for chocolate.

Find the variables, constraints, and objective function.

Answer 1

Profit P=.1V + .13C

V<800

C<600

V+C< 1000

Maximum profit is C=600 and V=400. Chocolate is more profitable. They'd do all chocolate except there's a limit of 600

Max P = .1(400) + .13(600) = 40 + 78 = $118