math
posted by bob .
A manufacturer produces a 4cup and 8cup coffee maker. The 4cup maker takes 6 hours to produce and the 8cup takes 9 hours. The manufacturer has at most 500 hours of labor per week.
a. Write an inequality to represent the number of each type of coffee makers they can produce in a week.
b. Is it possible to produce 20 4cup and 30 8cup coffee makers in a given week? Explain why or why not showing all of your calculations.

This is only the first step, linear programming is on your horizon :)
f for four cup
e for eight cup
6 f + 9 e </= 500
6 (20) + 9 (30) = 390 so sure we can do it