QUESTION 9 Use this information, along with its associated Sensitivity Report, to answer the following questions. A production manager wants to determine how many units of each product to produce weekly to maximize weekly profits. Production requirements for the products are shown in the following table. Product Material 1 (lbs.) Material 2 (lbs.) Labor (hours) A 3 2 4 B 1 4 2 C 5 none 3.5 Material 1 costs $7 a pound, material 2 costs $5 a pound, and labor costs $15 per hour. Product A sells for $101 a unit, product B sells for $67 a unit, and product C sells for $97.50 a unit. Each week there are 300 pounds of material 1; 400 pounds of material 2; and 200 hours of labor. The output of product A should not be more than one-half of the total number of units produced. Moreover, there is a standing order of 10 units of product C each week. Formulation Max 10A + 10B + 10C Subject to: 3A + B + 5C 300 (constraint #1) 2A + 4B 400 (constraint #2) 4A + 2B + 3.5C 200 (constraint #3) C 10 (constraint #4) A, B, C 0 Suppose that we force the production of one unit of product A. The new objective function value will be

a. 725

b. note enough information to answer the question

c. 915

d. 715

e. $925