Here are my questions: 1)Apply linear programming to this problem. A firm wants to determine how many units of each of two products (products X and Y) they should produce in order to make the most money. The profit from making a unit of product X is $190 and the profit from making a unit of product Y is $112. The firm has a limited number of labor hours and machine hours to apply to these products. The total labor hours per week are 3,000. Product X takes 2 hours of labor per unit and Product Y takes 6 hours of labor per unit. The total machine hours available are 750 per week.c
(a) 1 X + 5 Y =< 750
(b) 2 X + 6 Y => 750
(c) 2 X + 5 Y = 3,000
(d) 1 X + 3 Y =< 3,000
(e) 2 X + 6 Y =>3,000
2) You would like to use the fixed-time period inventory model to compute the desired order quantity for a company. You know that vendor lead time is 5 days and the number of days between reviews is 7. Which of the following is the standard deviation of demand over the review and lead time if the standard deviation of daily demand is 8?
(a) About 27.7
(b) About 32.8
(c) About 35.8
(d) About 39.9
(e) About 45.0 3)Apply linear programming to this problem. David and Harry operate a discount jewelry store. They want to determine the best mix of customers to serve each day. There are two types of customers for their store, retail (R) and wholesale (W). The cost to serve a retail customer is $70 and the cost to serve a wholesale customer is $89. The average profit from either kind of customer is the same. To meet headquarters' expectations, they must serve at least 8 retail customers and 12 wholesale customers daily. In addition, in order to cover their salaries, they must at least serve 30 customers each day. Which of the following is one of the constraints for this model?
(a) 1 R + 1 W =< 8
(b) 1 R + 1 W => 30
(c) 8 R + 12 W => 30
(d) 1 R => 12
(e) 20 x (R + W) =>30