Jesse K. answered • 10/12/16

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let consider

number of scientific calculators produced=x

number of graphing calculators produced=y

number of graphing calculators produced=y

First we shd finf constraints

1) Long-term projections indicate an expected demand of at least 100 scientific calculators and 80 graphing calculators each day

x>=100

y>=80

2) Because of limitations on production capacity, no more than 200 scientific and 170 graphing calculators can be made daily.

x<=200

y<=170

3)To satisfy a shipping contract, a total of at least 200 calculators much be shipped each day.

x+y>=200

Now we can write profit as function

Profit =-2x+5y

So P=-2x+5y

constraints

100<=x<=200

80<=y<=170

80<=y<=170

x+y>=200

you have to graph these 3 equations and find feasibility region

and test the corner of feasibility region to maximize profit

After graphing this I got the corner points at

(100, 170)

(200, 170)

(200, 80)

(120, 80)

(100, 100)

maximum value of P = 650 at (x, y) = (100, 170).

so

100 scientific calculators and 170 graphing calculators