A manufacturer produces a 4-cup and 8-cup coffee maker. The 4-cup maker takes 6 hours to produce and the 8-cup 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 4-cup and 30 8-cup coffee makers in a given week? Explain why or why not showing all of your calculations.

1 answer

6 f + 9 e </= 500

6 (20) + 9 (30) = 390 hours, sure that is less than 500 hours