Bakery has bought 250 pounds of muffin dough. They want to make waffles or muffins in half-dozen packs out of it. Half a dozen of muf

Question

Bakery has bought 250 pounds of muffin dough. They want to make waffles or muffins in half-dozen packs out of it. Half a dozen of muffins requires 1 lb of dough and a pack of waffles uses
3
4
lb of dough. It take bakers 6 minutes to make a half-dozen of waffles and 3 minutes to make a half-dozen of muffins. Their profit will be $1.50 on each pack of waffles and $2.00 on each pack of muffins. How many of each should they make to maximize profit, if they have just 20 hours to do everything?

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Adalyn 6 days 2021-10-13T01:35:27+00:00 1 Answer 0

Answers ( )

    0
    2021-10-13T01:37:06+00:00

    Answer:

    250 batches of muffins and 0 waffles.

    Step-by-step explanation:

    -1

    If we denote the number of batches of muffins as “a” and the number of batches of waffles as “b,” we are then supposed to maximize the profit function

    P = 2a + 1.5b

    subject to the following constraints: a>=0, b>=0, a + (3/4)b <= 250, and 3a + 6b <= 1200. The third constraint can be rewritten as 4a + 3b <= 1000.

    Use the simplex method on these coefficients, and you should find the maximum profit to be $500 when a = 250 and b = 0. So, make 250 batches of muffins, no waffles.

    You use up all the dough, have 450 minutes left, and have $500 profit, the maximum amount.

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