# (Solved Homework): Ctrt ell is the new owner of Coffee Country Roasters. They roast and blend nomy coffee to sell…

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(Solved Homework): Ctrt ell is the new owner of Coffee Country Roasters. They roast and blend nomy coffee to sell…
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Suppose X quantity of Best Blend is produced

And Y quantity of Economy Blend is produced.

Therefore the respective grades will be

X = 0.5X + 0.2X + 0.3X

Y = 0.2Y + 0.5Y + 0.3Y

Thus, linear equations will be,

0.5X + 0.2Y <= 100

0.2X + 0.5Y <=100

0.3X + 0.3Y <= 75

Objective function is Maximize Z =150X + 120Y

Now one by one we put in the points in the objective function. Therefore point (166.667, 83.334) gives maximum value of Z. Z= 35000

When Z= 150X + 110Y, at (166.667, 83.334) value of Z= 34166

When only 80 tons of grade B is available,

0.5X + 0.2Y <= 100

0.2X + 0.5Y <=80

0.3X + 0.3Y <= 75

Still Z maximum = 35000 at (166.67,83.33)

No i will not purchase 12 tons of grade C at \$3000

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