(闭卷,可用计算器) 1 Chinese sportswear firm makes and sells two types of bathing suits, regular and bikini (dental floss") in their modem manufacturing facility in Shenzhen. The company has seen their sales increase sharply, and they find two of their key dep artments with limited capacity. For the near future, only 120 hours of work per week can be scheduled in the cutting department and 80 hours of work per week in the sewing department. Each regular suit takes 5 minutes to cut and 1 minute to sew. Each bikini takes 3 minutes to cut and 4 minutes to sew. Each regular suit contributes $6 to profit, while each bikini contributes S4 to profit. The companys objective is to maximize profits 1)Formulate a linear programming model in algebraic form. (10 r) 2) Based on the computer output (summary of the optimal solution) for this problem. answer the questions below a. If each Regular swimsuit contributed only $2 to profit(instead of $6), how many Regular suits should you produce?(5 ANSWER: The number of Regular swimsuits to produce would be e swimwear company can expand only one department, which one should it be? (Cutting Department or Sewing Department)(5 Circlethe correct answer: Cutting Department sewing Department C. How much can cap acity be increased(in the Department you selected in answer b before it is no longer profitable to produce one of the swimsuits currently being produced (i.e, before the variables in the current solution change)? (5 ANSWER: Amount of increase in minutes is. d. How much more profit will be made if your answer in part c is accepted? (55) ANSWER: Total (not per unit) additional profit in s is(闭卷，可用计算器) 1 Chinese sportswear firm makes and sells two types of bathing suits, regular and bikini ("dental floss") in their modern manufacturing facility in Shenzhen. The company has seen their sales increase sharply, and they find two of their key departments with limited capacity. For the near future, only 120 hours of work per week can be scheduled in the cutting department and 80 hours of work per week in the sewing department. Each regular suit takes 5 minutes to cut and 1 minute to sew. Each bikini takes 3 minutes to cut and 4 minutes to sew. Each regular suit contributes $6 to profit, while each bikini contributes $4 to profit. The company's objective is to maximize profits. 1) Formulate a linear programming model in algebraic form.(10 分) 2) Based on the computer output (summary of the optimal solution) for this problem, answer the questions below. a. If each Regular swimsuit contributed only $2 to profit (instead of $6), how many Regular suits should you produce?（5 分） b. If the swimwear company can expand only one department, which one should it be? (Cutting Department or Sewing Department) （5 分） Why ________________________________________________________________ c. How much can capacity be increased (in the Department you selected in answer b.) before it is no longer profitable to produce one of the swimsuits currently being produced (i.e., before the variables in the current solution change)? （5 分） d. How much more profit will be made if your answer in part c. is accepted? （5 分） ANSWER: Amount of increase in minutes is: _________________________________ ANSWER: Total (not per unit) additional profit in $ is: __________________________ ANSWER: The number of Regular swimsuits to produce would be: _______________ Circle the correct answer: Cutting Department Sewing Department