Question 1 A-Electronics manufactures six microcomputer peripheral devices: PD1, PD2, PD3, PD4, PD5 and PD. Each of these technical products requires time, in minutes, on three types of electronic testing devices, TD1, TD2, and TD3. Each product requires varying times (in minutes) of electronic testing devices as shown below. PD1 PD2 PD3 PD4 PD5 PD6 TD1 7 3 12 6 18 17 TD2 2 5 3 2 15 17 TD3 5 1 3 2 9 2 TD1, TD2, TD3 are available for 120, 140 and 100 hours per week. The revenue and material cost per unit of the products are shown in the table below PD1 PD2 PD3 PD4 PD5 PD6 Revenue ($) 200 120 180 130 430 260 Material cost ($) 35 25 40 45 170 60 The market for all six computer components is vast, and A-Electronics believes that it can sell as many units of each product as it can manufacture. A-Electronics wants to maximize its weekly profits. a) For A-Electronics problem i) Formulate an LP model ii) Solve the problem to obtain the optimal solution iii) State and discuss the sensitivities of the unit profits on the optimal solution in (ii) iv) State and discuss the shadow prices for TD1, TD2 andTD3. b) A-Electronics is thinking of dropping device PD2. i) What would be the optimal solution? ii) What would be the difference in profit?