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Aunt Anastasia operates a small business: she produces seasonal ceramic objects to sell to tourists. For the spring, she is planning to make baskets, eggs, and rabbits, which require three types of resources: mix/mold, kiln, and pain & seal. Based on your discussion with your aunt you construct the following table.
Product Mix/mold requirements (lb) Kiln (units) Paint & Seal (hr) Profit/product ($) Baskets 0.500 1 0.250 $2.50 Eggs 0.250 1.5 0.750 $2.00 Rabbits 0.333 1 0.333 $1.50 Capacity 20 pounds 55 units 90 hours In addition to the above capacity constraints for the three resources, your aunt also has committed to make 35 rabbits for a charitable organization. You are not supposed to solve it.
a. Based on the information in the table, Please formulate the problem as a linear program. Please clearly define your decision variables.
b. Suppose you developed a Solver model in Excel to find the optimal solution. If you were given the opportunity to acquire additional units of one of the three resources (mix/mold, kilm and paint & seal), describe how you can use your Solver model to decide which one to purchase.
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