Short Answer



Write the system of inequalities and optimum function created by each
problem.


1.

Abercrombie sells both children and adult clothes. In one day, the store will
sell a maximum of 65 total shirts with the adult shirts selling for $27 and the child shirt selling
for $20. The store must sell at least 15 children’s shirts and 10 adult shirts. How much
money will the store make?


2.

A
land developer wishes to build onestory and twostory houses on his plot of land. He is
allowed to build a maximum of 60 houses on 50 acres of land. One story houses take .75 acres to
build and will sell for $150,000. Two story houses take 1 acres to build and will sell for
$180,000. The builder must build at least 20 onestory houses and 5 twostory houses as
well. How much will the developer make?


3.

John
can make at most $2,700 in television and radio sales today. He knows he will sell exactly 35
radios and televisions. Also, he knows that he won’t sell more than 30 radios at $70 or 15
televisions at $100. What is the most he can actually make?
