Each season, MALT-UP Mountain Brewers blends micro-brews for their retail member

Question

Each season, MALT-UP Mountain Brewers blends micro-brews for their retail membership. For a concession client preparing for an upcoming rodeo, the Brewers were asked to create a special brew of two malt blends, Chesty-nut and Bronco-brew. The customer wants 500 gallons of blended brew, which must contain at least 45% of Chest-nut and at least 100 gallons Bronco-brew. Both have 6% alcohol content, which the customer approves. The blend is sold for S10 per gallon. Chesty-nut costs exist6 per gallon and Bronco-brew costs exist3 per gallon. The company wants to determine the blend that will meet the customer's requirements and maximize profit. Using the skills you have learned, create an LP model for the above problem and answer the multiple-choice questions below. (Use scantron for answers) For Malt-Up, the optimum solution and objective function value are a. Chesty-nut = 400 gals., Bronco-brew = 100 gals., objective function value = exist2, 800 b. Chesty-nut = 500 gals., Bronco-brew = 0 gals., objective function value = exist3,000 c. Chesty-nut = 450 gals., Bronco-brew = 50 gals., objective function value = exist2, 900 d. Chesty-nut = 225 gals., Bronco-brew = 275 gals., objective function value = exist2, 450 For Malt-up, the minimum constraint availability for Chesty-nut is a. 225 gals. b. 450 gals. c. 100 gals. d. 500 gals. For Malt-up, the binding constraints are: a. Chesty-nut and Total Used b. Chesty-nut and Bronco-brew c. Bronco-brew and Total Used d. Chesty-nut, Bronco-brew, and Total Used For Malt-up, (rounding off to three decimal places), which statement below describes the optimum solution's uniqueness and degeneracy? a. Solution is unique and degenerate b. Solution is not unique and is degenerate c. Solution is unique and not degenerate d. Solution is not unique and not degenerate For Malt-Up, suppose the cost of Bronco brew increased exist1 per gallon, would the optimum solution change? Would the objective function change? a. Given that the allowable increase is exist2, neither optimum solution or objective function would change. b. Given that the allowable increase is exist2, the optimum solution would not change, but objective function value would increase by exist275 c. The optimum solution would change Bronco-brew by 3, and change the objective function by exist15.00 d. The optimum solution would change by 75 gals., and the objective function value will change by exist225.

Explanation / Answer

As per the given situation

6- For Malt-Up, the optimum solution and objective function value are a. Chesty-nut =400 gals., Bronco-brew = 100 gals., objective function value = $2,800

7- For Malt-up, the minimum constraint availability for Chesty-nut is a. 225 gals.

8- For Malt-up, the binding constraints are: b. Chesty-nut and Bronco-brew.

9-For Malt-up, (rounding off to three decimal places), which statement below describes the optimal solution's uniqueness and degeneracy?. Solution is not unique and is degenerate

10- For Malt-Up, suppose the cost of Bronco brew increased $1 per gallon, would the optimum solution change? Would the objective function change? a. Given that the allowable increase Is $2, neither optimum solution or objective function would change.

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