Table 1 Aunt Anastasia operates a small business: she produces seasonal ceramic
ID: 3199689 • Letter: T
Question
Table 1 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. Based on your discussion with your aunt you construct the following table: Mix/mold Kiln Paint& SealProfit/product Product require ments (Ib) (units) Baskets Eggs Rabbits Capacity 0.500 0.333 0.250 20 pounds (hr) 0.250 0.333 0.750 80 hours S2.50 S1.50 $2.00 50 units Your aunt also has committed to make 25 rabbits for a charitable organization Based on the information in the table, you formulate the problem as a linear program. B number of baskets produced E = number of eggs produced R-number of rabbits produced MAX 2.5B + 15E+2R s.t. 0.5B +0.333E +0.25R s 20 B+E+Rs50 0.25B +0.333E+0.75R 80 R2 25 The Excel solution and the answer and sensitivity report are shown below. The Answer Report: Solution list (untitled) Solution Variable Baskets Eggs Status Value Basic 25 NONBasic 0 i slack 1 slack 2 slack 3 surplus 4 Optimal Value (Z) Basic 25 Basic 1.25 0 Basic 55 NONBasic NONBasic 112.5Explanation / Answer
Question 1: The answer is correct since that is the only restriction with slack=0
Question 2: The answer is correct because the value of the variable rabbits is 25
Question 3: The answer is incorrect. Since in your basic solution the number of baskets is 25,
which is not zero, changing the price will affect the profit. The price's changed from $2.5 to $1.5
So the change is $2.5-$1.5=$1. So the profit will be reduced by (change in price)x(number of baskets)=$1x25=$25
Answer:$25
Question 4: The answer is correct. Since in our solution we have 0 eggs. Then there won't be any change in the profit because the number of eggs is 0.
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