State the linear programming problem in mathematical terms, identifying the objective function and the constraints. A firm makes products A and B. Product A takes 2 hours each on machine L and machine M; product B takes 2 hours on L and 3 hours on M. Machine L can be used for 14 hours and M for 9 hours Profit on product A is $7 and $6 on B. Maximize profit. OA Maximize 7A+68 Subject to: 2A + 2B ≤ 14 2A+3859 AB20 OC. Maximize 7A-68 Subject to: 2A 20214 3A+28 29 ABSO OB. Maximize 7A 68 Subject to: 2A+28s 14 3A 2859 AB20 OD. Maximize 6A+78 Subject to 2A 38 14 2A-2859 A, B20

State the linear programming problem in mathematical terms, identifying the objective function and the constraints. A car repair shop blends oil from two suppliers. Supplier I can supply at most 48 gal with 3.6% detergent. Supplier II can supply at most 66 gal with 3% detergent. How much can be ordered from each to get at most 100 gal of oil with maximum detergent? OA. Maximize 0.030x + 0.036y Subject to: xs48 y≤ 66 x+y≤ 100 OC. Maximize 48x + 66y Subject to: x248 y266 0.036x +0.03y2 100 OB. Maximize 0.036x+0.03y Subject to: 0≤x≤48 0sys 66 x+ys 100 D. Maximize 48x + 66y Subject to: xs48 y≤ 66 0.036x +0.03y ≤ 100

A store store is looking to stock the following: necklaces, bracelets, rings, and earrings. The objective function measuring profit and constraints are given below. Constraint 1 measures display space in units, constraint 2 measurestime to set up the display in minutes. Constraints 3 and 4 are marketing restrictions. Setup an LP program in Tab "#1" and run additional reports (leave reports in your file) in order to answer the following questions.MAX 100X1+120X2+150X3+125X4S.T.1) X1+2X2+2X3+2X4<1082) 3X1+5X2+X4<1203) X1+X3<254) X2+X3+X4>50a. How many necklaces should be stocked?b. Now many bracelets should be stocked?c. How many rings should be stocked?d. How many earrings should be stocked?e. How much space will be left unused?f. How much time will be used?g. By how much will the second marketing restriction be exceeded?h. What is the profit?i. To what value can the profit on necklaces drop before the solution would change?j. By how much can the profit on rings increase…

A manufacturer of refrigerators must ship at least 100 refrigerators to its two warehouses. Each warehouse holds a maximum of 100 refrigerators. Warehouse A holds 40 refrigerators already, while warehouse B has 15 on hand. It costs $10 to ship a refrigerator to warehouse A and $14 to ship one to warehouse B. How many refrigerators should be shipped to each warehouse to minimize cost?  Find the objective function and the constraints for the above problem.