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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.

  • math -

    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

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