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.

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Answer:

See step-by-step explanation

Step-by-step 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