(Solved Homework): 9. Jessica Lyell is the new owner of Coffee Country Roasters. They roast and blend coffee to sell…

9. Jessica Lyell is the new owner of Coffee Country Roasters. They roast and blend coffee to sell on the internet. Their best sellers are Bestst and blend Blend and Eco Blend coffee. Both are blended from three basic grades of coffee:oy Best blend: 50% grade A, 2096 grade B, and 30% grade C Economy: 20% grade A, 50% grade B, and 30% grade C The market prices are $790/ton for Best and $700/ton for Economy. The firm is given the option of buying up to gra 100 tons of grade A at $800/ton, 100 tons of de B at $600/ton, and 75 tons of grade C at $400/ton. The profit on the Best is $150 per ton and the profit on the Economy Blend is S120 per ton. Blend Jessica would like to maximize her profit. a. Formulate this problem as a linear program. o Bes Ber& Prodres tbns of 2crny Bend produ B° tons b. Solve this problem using Excel Solver.(Turn in a copy of your spreadshakt and the formulas used in it.)

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9. Jessica Lyell is the new owner of Coffee Country Roasters. They roast and blend coffee to sell on the internet. Their best sellers are “Bestst and blend Blend” and “Eco Blend” coffee. Both are blended from three basic grades of coffee:oy Best blend: 50% grade A, 2096 grade B, and 30% grade C Economy: 20% grade A, 50% grade B, and 30% grade C The market prices are $790/ton for Best and $700/ton for Economy. The firm is given the option of buying up to gra 100 tons of grade A at $800/ton, 100 tons of de B at $600/ton, and 75 tons of grade C at $400/ton. The profit on the Best is $150 per ton and the profit on the Economy Blend is S120 per ton. Blend Jessica would like to maximize her profit. a. Formulate this problem as a linear program. o Bes Ber& Prodres tbns of 2crny Bend produ B° tons b. Solve this problem using Excel Solver.(Turn in a copy of your spreadshakt and the formulas used in it.)

Expert Answer

Answer

Nothing is pending to be done. You have done it correctly.

Formulation

B: Tons of Best Blend
E: Tons of Economy Blend

Objective Function: max.Z = Total profit = 150B + 120E

Subject to,

Max limits of ingredients

  • 0.5B + 0.2E ≤ 100
  • 0.2B + 0.5E ≤ 100
  • 0.3B + 0.3E ≤ 75

Non-negativity

B, E ≥ 0

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