Question

Henry and Holly Hitch are a couple, who like to eat out and go to the theater. In addition to the money it takes for these activities, they must get a babysitter for each evening out, which is done through their babysitting cooperative. During the coming year, they will have $12,000, and 300 hours of babysitting credits, to use for their dining out and theater visits. Each dinner evening takes 3 hours and costs $150, while each evening at the theater also takes 3 hours and costs $100. Use x to denote the number of dinners out and y to denote the number of theater visits. Write down Henry and Holly's time budget constraint and money budget constraint.

Answer 1

See step-by-step explanation

Explanation:

Table

To eat out ( x ) cost 150 $ and need 3 hours

To go to the theater ( y ) cost 100 $ and need 3 hours

Therefore Budget constraint:

150 * x + 100 * y ≤ 12000

And time constraint is:

3 * x + 3* y ≤ 300

General constraints x ≥ 0 y ≥ 0 and must be integer