how to solve this problem

Question

A calculator company produces a scientific calculator and a graphing calculator. Long-term projections indicate an expected demand of at least 100 scientific and 80 graphing calculators each day. Because of limitations on production capacity, no more than 200 scientific and 170 graphing calculators can be made daily. To satisfy a shipping contract, a total of at least 200 calculators much be shipped each day.

If each scientific calculator sold results in a $2 loss, but each graphing calculator produces a $5 profit, answer the following questions to determine how many of each type should be made daily to maximize net profits.

a. Define the variables used to create the equation

Answer 1

Let "s" be the number of scientific calculators and let "g" be the number of graphing calculators.

You don't ask for equations but:

(Because of demand) s ≥ 100 and g ≥ 80

And (because of production capacity) s ≤ 200 and g ≤ 170

And (because of shipping) s + g ≥ 200

Profit (P) = 5g - 2s

To find the solution, graph these and map out the "good" region (shown in gray):

Then, find the coordinates of each "corner" of the gray area and then calculate the profit for each of those points. Whichever is higher wins.