Mr. and Mrs. Baker have a small bakery that specializes in doughnuts. The make only two kinds of doughnuts -plain and icing. They need to decide how many dozens of each kind of doughnut to make for tomorrow.
1 dozen of their plain requires 1 lb. of dough(no icing), while one dozen of their icing doughnuts requires .75 lb. of dough and .4 lb of icing.
They know that the plain doughnuts require .1 hour of preparation, and each icing one takes .15 hours.of preparation. They also know that no matter how many they make, they'll sell it all.
Their decision is limited by the following:
-They have 110lb of dough and 32lb of icing (ingredients)
-they have room for a total of 140 dozen doughnuts (oven space)
-They only have 15 hours of preparation time (preparation time)
They want to make the most money as possible. They sell plain for $6.00 and it cost them $4.50 (per dozen). The iced doughnuts sell for $7.00 and cost $5.00 a dozen to make. How many dozens so each kind of doughnuts should Mr. and Mrs. Baker make so that their profit is as high as possible?
*Please write formulas*
1 dozen of their plain requires 1 lb. of dough(no icing), while one dozen of their icing doughnuts requires .75 lb. of dough and .4 lb of icing.
They know that the plain doughnuts require .1 hour of preparation, and each icing one takes .15 hours.of preparation. They also know that no matter how many they make, they'll sell it all.
Their decision is limited by the following:
-They have 110lb of dough and 32lb of icing (ingredients)
-they have room for a total of 140 dozen doughnuts (oven space)
-They only have 15 hours of preparation time (preparation time)
They want to make the most money as possible. They sell plain for $6.00 and it cost them $4.50 (per dozen). The iced doughnuts sell for $7.00 and cost $5.00 a dozen to make. How many dozens so each kind of doughnuts should Mr. and Mrs. Baker make so that their profit is as high as possible?
*Please write formulas*
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∙ ∙ ∙ ∙ ∙ ∙ ∙ plain ∙ ∙ iced ∙ ∙ ∙ ∙ constraint
dough ∙ ∙ ∙ 1x ∙ + ∙ 0y ∙ ∙ ∙ ≤ 110
icing ∙ ∙ ∙ 0.75x + 0.4y ∙ ∙ ∙≤ 32
prep ∙ ∙ ∙ ∙ 0.7x + 0.15y ∙ ∙ ≤ 15
count ∙ ∙ ∙ ∙ ∙ x + y ∙ ∙ ∙ ∙ ∙ ∙≤ 140 doz
profit ∙ ∙ ∙ 1.50x + 2.00y ∙ ∙ ∙ ∙ maximize
dough ∙ ∙ ∙ 1x ∙ + ∙ 0y ∙ ∙ ∙ ≤ 110
icing ∙ ∙ ∙ 0.75x + 0.4y ∙ ∙ ∙≤ 32
prep ∙ ∙ ∙ ∙ 0.7x + 0.15y ∙ ∙ ≤ 15
count ∙ ∙ ∙ ∙ ∙ x + y ∙ ∙ ∙ ∙ ∙ ∙≤ 140 doz
profit ∙ ∙ ∙ 1.50x + 2.00y ∙ ∙ ∙ ∙ maximize
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TLDR lol i got tired at .75lb
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how u gonna make it through college?