Please answer the following question (i), show steps:

4.5 Aba manufacturing Company is considering modifying the batch production process for the Gee- Wizz Widget to one of two new processes. The fixed costs would not change for either of the proposed processes; however, both the marginal cost per production batch and the percent yield per batch would change. Consider a range for marginal cost from $10 to $20 per batch and a range for percent yield per batch from 25 to 75 percent. Assume that the single dimensional value function over marginal cost is exponential and the single dimensional value function over percent yield is piecewise linear with two linear segments, one from 25 to 40 percent yield and one from 40 to 75. Further assume that the midvalue for the marginal cost range from $10 to $20 is $17, and that the value increase from increasing percent yield from 40 to 75 percent is three times as great as the value increase from increasing percent yield from 25 to 40 percent. In addition, the value increase from increasing the percent yield from 25 to 75 percent is one-half the value increase from decreasing marginal cost per batch from $20 to $10. The marginal cost per batch and percent yield per batch for the current production process and the two proposed new process are Current Process: $15 and 50% Proposed process 1: $18 and 60% Proposed Process 2: $13 and 35% Answer the following question: (i) Determine the multiobjective value function for this decision problem. 4.5 Aba manufacturing Company is considering modifying the batch production process for the Gee- Wizz Widget to one of two new processes. The fixed costs would not change for either of the proposed processes; however, both the marginal cost per production batch and the percent yield per batch would change. Consider a range for marginal cost from $10 to $20 per batch and a range for percent yield per batch from 25 to 75 percent. Assume that the single dimensional value function over marginal cost is exponential and the single dimensional value function over percent yield is piecewise linear with two linear segments, one from 25 to 40 percent yield and one from 40 to 75. Further assume that the midvalue for the marginal cost range from $10 to $20 is $17, and that the value increase from increasing percent yield from 40 to 75 percent is three times as great as the value increase from increasing percent yield from 25 to 40 percent. In addition, the value increase from increasing the percent yield from 25 to 75 percent is one-half the value increase from decreasing marginal cost per batch from $20 to $10. The marginal cost per batch and percent yield per batch for the current production process and the two proposed new process are Current Process: $15 and 50% Proposed process 1: $18 and 60% Proposed Process 2: $13 and 35% Answer the following question: (i) Determine the multiobjective value function for this decision