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i need assistance with this problem Goal Programming Coffee Creek manufacturing company produces both bowls and mugs. Each bowl generates $10 in profit while each
i need assistance with this problem
Goal Programming Coffee Creek manufacturing company produces both bowls and mugs. Each bowl generates $10 in profit while each mug produces $6 in profit. Bowls require 1/2 hour in labor to make while mugs require 1.0 hours. Bowls require 3 lbs of raw material clay for each bowl produced while mugs require 2lbs of raw material clay for each mug produced. The company has two full-time artisans that can provide 40 hours each of labor in producing bowls and mugs. In sum, the company has 80 hours per week of labor capacity. The company has established the following goals in order of importance: 1) Minimize any underutilization of labor 2) In order to cover its financial obligations, Coffee Creek needs to generate at least $450 in total profit each week. 3) Given that space to store raw material in the store is limited, it is preferred that the company carry no more than 240lbs of raw material clay at any point in time. 4) If the three above goals are achieved, Coffee Creek would like to maximize its profits if possible Use an Excel spreadsheet to set up and solve this goal programming problem and then answer the questions below: Q1 - Is Coffee Creek able to achieve all four goals in this situation? Q2 - what is the optimal number of bowls that Coffee Creek should produce? Q3 - what is the optimal number of mugs that Coffee Creek should produce? Q4 - with this optimal solution, how much total profit will Coffee Creek generate per week? Q5 - with this optimal solution, how many pounds of clay raw material should be stored Step by Step Solution
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