Question

Use the scenario given below to answer the following question(s) Ray Inc. manufactures two types of gaming consoles, the sp2 hybrid and the sp3 hybrid models. The manufacturing process consists of two principal departments: design and production. The design department has 58 skilled workers, each of whom works 7 hours per day. The production department has 25 workers, who also work a 7-hour shift. On an average, to produce a sp2 hybrid, Ray Inc. requires 3.5 labor hours for design and 2 labor hours for production. The sp3 model requires 4 labor hours for design and 1.5 labor hours in production. The company anticipates selling at least 1.5 times as many sp3 models as sp2 models. The company operates five days per week and makes a net profit of $130 on the sp2 model, and $150 on the sp3 hybrid model. Ray Inc. wants to determine how many of each model should be produced on a weekly basis to maximize net profit. 1.Which of the following is a decision variable in the given problem? A. the number of workers the firm has B. the labor hours required to produce the two models C. sp3 hybrid gaming consoles produced per week S. total profit that Ray, Inc. wants to maximize 2.Which of the following statements is true of the number of sp3 and sp2 hybrids to be manufactured in a week? A. If the numbers of sp3 and sp2 units manufactured per week are 355 and 155 units respectively, the number of labor hours used by the B. If the numbers of sp3 and sp2 units manufactured per week are 362 and 165 units respectively, the difference between the number of C. If the numbers of sp3 and sp2 units manufactured per week are 360 and 160 units respectively, the difference between the production D. If the numbers of sp3 and sp2 units manufactured per week are 360 and 160 units respectively, the number of labor hours used by the 3. If the numbers of sp3 and sp2 hybrid gaming consoles produced each week are denoted as X1 and 2 respectively, the function that describes production department is 1962.5 labor hours/week. hours used by the design department and the design department's labor time limitation is 30 labor hours/week department's labor time limitation and the number of hours used by the production department is 15 labor hours/week. design department is 825 labor hours/week. the design department's labor constraint for a week is A. 16X1 14X2 8120 B. 16X1 14X2 2 8120 C. 3.5X1 4X2 2 2030 D. 3.5X14X2 S 2030 4. For the given data, identify the objective function. A. 3sp3 hybrid models produced/week 2 sp2 hybrid models produced/week B. total labor used in production s 2,030 labor hours C. sp3 hybrid models produced/week 1.5 sp2 hybrid models produced/week D. maximize total profit 150sp3 models produced/week+130 sp2 models produced/week