Question: 6. Determine the optimal solution with the corner point evaluation method. a. In lines entered below this part , find the values of the decision

6. Determine the optimal solution with the corner point evaluation method.
a. In lines entered below this part, find the values of the decision variables and of the objective function at all the corner points of the feasible region graphed in part 3a. (Answered on Chegg please refer ( https://www.chegg.com/homework-help/questions-and-answers/1-determine-optimal-solution-graphical-solution-method-consisting-following-steps--graph-c-q57449191?trackid=vB4zxnz- )
b. In lines entered below this part, state the optimal solution and optimal value to this problem.
c. In lines entered below this part, compare the results in parts 4 and 6b. Are they the same or not? Either way, why?
for part 4 please refer to the link below
( https://www.chegg.com/homework-help/questions-and-answers/4-based-part-3-calculate-explicitly-state-lines-entered-part-optimal-solution-optimal-valu-q57509942 )
The Business Situation The Mason Wine Company produces two kinds of wine - Mason Blanc and Mason Merlot. The wines are produced in 1,000-gallon batches. The profit for a batch of Blanc is $12,000 and the profit for a batch of Merlot is $9,000. The wines are produced from 64 tons of grapes that the company has acquired. A 1,000-gallon batch of Blanc requires 4 tons of grapes and a batch of Merlot requires 8 tons. However, the production is limited by the availability of only 50 cubic yards (yd) of storage space for aging and 120 hours of processing time. Each batch of each type of wine requires 5 yd' of storage space. The processing time for a batch of Blanc is 15 hours and the processing time for a batch of Merlot is 8 hours. The wine company will not produce more or less than the range of amounts demanded for each type. Demand for each type of wine is for at least 1 batch but is limited to not more than 7 batches. Even so, the demand for Blanc is the same as or is higher than the demand for Merlot. Company executives do not want to depend on just one type of wine so they have mandated minimum production levels of both types of wine. Specifically, at least 20% of the total wine production must be Merlot. Likewise, at least 20% of the total wine production must be Blanc. Moreover, the amount of the Merlot produced should not be more than half of the total production. Also, the break-even point on profit is $54,000. Therefore, company requires that it must make at least $54,000 in profit to do better than just break even (that is, profit must be $54,000 or more). The company wants to set the production levels, in terms of the number of 1,000- gallon batches of both the Blanc and Merlot wines to produce so as to earn the most profit possible. (NOTE: Partial [i.e., fractional] batches can be produced; they refer to pending production. If fractional, round the optimal solution values to two (2) decimal places.) The Business Situation The Mason Wine Company produces two kinds of wine - Mason Blanc and Mason Merlot. The wines are produced in 1,000-gallon batches. The profit for a batch of Blanc is $12,000 and the profit for a batch of Merlot is $9,000. The wines are produced from 64 tons of grapes that the company has acquired. A 1,000-gallon batch of Blanc requires 4 tons of grapes and a batch of Merlot requires 8 tons. However, the production is limited by the availability of only 50 cubic yards (yd) of storage space for aging and 120 hours of processing time. Each batch of each type of wine requires 5 yd' of storage space. The processing time for a batch of Blanc is 15 hours and the processing time for a batch of Merlot is 8 hours. The wine company will not produce more or less than the range of amounts demanded for each type. Demand for each type of wine is for at least 1 batch but is limited to not more than 7 batches. Even so, the demand for Blanc is the same as or is higher than the demand for Merlot. Company executives do not want to depend on just one type of wine so they have mandated minimum production levels of both types of wine. Specifically, at least 20% of the total wine production must be Merlot. Likewise, at least 20% of the total wine production must be Blanc. Moreover, the amount of the Merlot produced should not be more than half of the total production. Also, the break-even point on profit is $54,000. Therefore, company requires that it must make at least $54,000 in profit to do better than just break even (that is, profit must be $54,000 or more). The company wants to set the production levels, in terms of the number of 1,000- gallon batches of both the Blanc and Merlot wines to produce so as to earn the most profit possible. (NOTE: Partial [i.e., fractional] batches can be produced; they refer to pending production. If fractional, round the optimal solution values to two (2) decimal places.)
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