PLEASE DO PART B AND C

Charles Watts Electronics manufactures the following six peripheral devices used in computers especially designed for jet fighter planes: internal modems, external modems, graphics circuit boards, jump drives, hard disk drives, and memory expansion boards. Each of these technical products requires time, in minutes, on three types of electronic testing equipment as shown in the following table, Test device 1 Test device 2 Test device 3 Internal Modem 7 2 5 Extemal Modem 3 5 1 1 Circuit Board 12 3 3 Jump Drives 6 2 2 Hard Drives 18 15 9 Memory Boards 17 17 2 The first two test devices are available 120 hours per week. The third (device 3) requires more preventive maintenance and may be used only 80 hours each week. The market for all six computer components is vast, and Watts Electronics believes that it can sell as many units of each product as it can manufacture. The table that follows summarizes the revenues and material costs for each product. Device Revenue per Unit Material Cost per Sold ($) Unit ($) Internal modem $200 $35 External modem $120 $25 Graphics circuit board $180 $40 Jump drive $130 $45 Hard disk drive $430 $170 Memory expansion board $260 $60 In addition, variable labour costs are S20 per hour for test device 1, $10 per hour for test device 2, and $15 per hour for test device 3. Watts Electronics wants to maximize its profits. , 2, Write the objective function and the constraint in equations. . Decision variables: : X = number of units of internal modems produced per week X, number of units of external modems produced per week X, number of units of circuit boards produced per week Xy=number of units of jump drives produced per week X5 = number of units of hard drives produced per week Xo = number of units of memory boards produced per week al The nhierthe function for the IP model Next Hard disk drive Memory expansion board $430 $260 $170 SGO In addition, variable labour costs are S20 per hour for test device 1, $10 per hour for test device 2, and $15 per hour for test device 3. Watts Electronics wants maximize its profits. Write the objective function and the constraint in equations. Decision variables: X, number of units of internal modems produced per week X2 = number of units of external modems produced per week X, number of units of circuit boards produced per week X = number of units of jump drives produced per week X, number of units of hard drives produced per week X = number of units of memory boards produced per week a) The objective function, for the LP model = Maximize Z= $200 X, . $120 X2 + $180 X3 + $130 X4 + $430 X5 + $260 X6 (time available on test device 1) Subject to: 7X, + 3X2 + 12x3 + 6X, + 18 X5 + 17 X5 5 120x60 2xy + 5X2 + 3X, + 2xy + 15 X5 + 17 xg 120 x 60 5X, + 1X2 + 3X, + 2 X4 + 9 X5 + 2X8 80x60 For all X:20 (time available on test device 2) (time available on test device 2) nonnegativity condition b) Using a computer software for solving LP, the optimal solution achieved is: Total profit of the optimal solution (objective value) = (Round your response to the nearest whole number.) c) The value of an additional minute of time per week on test device 1 - (Round your response to two decimal places.) The value of an additional minute of time per week on test device 2 = (Round your response to two decimal places.) The value of an additional minute of time per week test device 3 = - (Round your response to two decimal places.) Next