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April 16, 2014

Homework Help: Algebra (Please check)

Posted by Greg on Monday, September 17, 2012 at 3:00pm.

PLEASE CHECK MY ANSWERS (: I just want to make sure I am doing this correctly
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Graph the system of constraints and find the value of x and y that maximize the objective function.

Constraints:
x ≥ 0
y ≥ 0
y ≤ (1)/(5) x + 2
5 ≤ y + x

Objective Function: C = 7x - 3y

a.(2.5, 2.5)
b.(0,2)
c.(0,0)
*d.(5,0)
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2. Your computer-supply store sells two types of inkjet printers. The first, type A, costs $237 and you make a $22 profit on each one. The second, type B, costs $122 and you make a $19 profit on each one. You can order no more than 120 printers this month, and you need to make at least $2,400 profit on them. If you must order at least one of each type of printer, how many of each type of printer should you order if you want to minimize your cost?

a. 69 of type A: 51 of type B
*b. 40 of type A: 80 of type B
c. 51 of type A: 69 of type B
d. 80 of type A: 40 of type B
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3. A factory can produce two products, x and y, with a profit approximated by P = 14x + 22y 900. The production of y can exceed x by no more than 200 units. Moreover, production levels are limited by the formula x + 2y ≤ 1600. What production levels yield maximum profit?

a. x = 400; y = 600
b. x = 0; y = 0
*c. x = 1,600; y = 0
d. x = 0; y = 200

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