A company manufactures x units of product A and y units of product B, on two machines, I and II. It has been determined that the company will realize a profit of $2 on each unit of product A and$3 on each unit of product B. To manufacture a unit of product A requires 7 min on machine I and 3 min on machine II. To manufacture a unit of product B requires 10 min on machine I and 4 minon machine II. There are 133 min available on machine I and 57 min available on machine II in each work shift. How many units of a product should be produced in each shift to maximize thecompany's profit P?calОреsubject to the constraintsP =XMaximizeFunхXmachine ISymRelamachine IISets|VOx 2 0O!Vecty 0Trig+X

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Asked Sep 24, 2019
A company manufactures x units of product A and y units of product B, on two machines, I and II. It has been determined that the company will realize a profit of $2 on each unit of product A and
$3 on each unit of product B. To manufacture a unit of product A requires 7 min on machine I and 3 min on machine II. To manufacture a unit of product B requires 10 min on machine I and 4 min
on machine II. There are 133 min available on machine I and 57 min available on machine II in each work shift. How many units of a product should be produced in each shift to maximize the
company's profit P?
cal
Оре
subject to the constraints
P =
X
Maximize
Fun
х
X
machine I
Sym
Rela
machine II
Sets
|VO
x 2 0
O!
Vect
y 0
Trig
+
X
help_outline

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A company manufactures x units of product A and y units of product B, on two machines, I and II. It has been determined that the company will realize a profit of $2 on each unit of product A and $3 on each unit of product B. To manufacture a unit of product A requires 7 min on machine I and 3 min on machine II. To manufacture a unit of product B requires 10 min on machine I and 4 min on machine II. There are 133 min available on machine I and 57 min available on machine II in each work shift. How many units of a product should be produced in each shift to maximize the company's profit P? cal Оре subject to the constraints P = X Maximize Fun х X machine I Sym Rela machine II Sets |VO x 2 0 O! Vect y 0 Trig + X

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The mathematical formulation of the g...

Maximize p 2x +3y
Subject to the constraints
machine I]
[тachine I]
7x 10y 133
3x 4y57
x 20
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Maximize p 2x +3y Subject to the constraints machine I] [тachine I] 7x 10y 133 3x 4y57 x 20

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