please let me know which numbers u answered and please show work

20) Consider the following lincar programming problem: MIN Z 3x1 - x2 Subject to: -2x1 + x2 5 5 8x1 - 4x220 x1,x220 & integer What is minimum cost and the value of xl and 2 at the optimal solution? 5 21) Tracksaws Inc, makes tractors and lawn mowers. The firm makes a profit of $40 on each tractor and $50 on cach lawn mower, and they sell all they can produce. The time requirements in the machine shop, fabrication, and tractor assembly are given in the table. Madline Shop Fabrication Assembly Tractor 2 hours 2 hours 1 hour Lawn Mower 1 hour 3 hours hour Hes. Available 60 hours 120 45 hour Letx number of tractors produced per period; and y number of lawn mowers produced per period. The graphical solution is shown below 09 NACE MacBook Air FS F6 F1 F7 F10 FB A & 21) Tracksaws Inc, makes tractors and lawn mowers. The firm makes a profit of $40 on each tractor and $50 on each lawn mower, and they sell all they can produce. The time requirements in the machine shop, fabrication, and tractor assembly are given in the table. Machine Shop Fabrication Assembly Tractor 2 hours 2 hours I hour Lawn Mower 1 hour 3 hosts O hour Hrs. Available 60 hours 120 hours 45 hours Let x number of tractors produced per period; and y number of lawn mowers produced per period. The graphical solution is shown below. 20 10 10 . a. Formulate the problem. b. Considering the graphical solution, what is the shadow price for assembly constraint? 22) Due to increased sales, a company is considering building three new distribution centers (DCs) to serve four regional sales areas. The annual cost to operate DC 1 is SSOO (in thousands of dollars). The cost to operite DC 2 is 600 (in thousands of dollars.). The cost to operate DC 3 is $S25 (in thousands of dollars). Assume that the variable cost of operating at each location is the same, and therefore not a consideration in making the location decision The table below shows the cost (S per item) for shipping from each DC to each region D ac 1 2 4 2 3 2 2 MacBook Air F10 11 FO FS F6 F7 FB * & O a. Formulate the problem. b. Considering the graphical solution, what is the shadow price for assembly constraint? 22) Due to increased sales, a company is considering building three new distribution centers (DC) to serve four regional sales areas. The annual cost to operate DC I is $500 (in thousands of dollars). The cost to operate DC 2 is $600 (in thousands of dollars.). The cost to operate DC 3 is $525 (in thousands of dollars). Assume that the variable cost of operating at each location is the same, and therefore not a consideration in making the location decision. The table below shows the cost (5 per item) for shipping from each DC to cach region. DC 2 D 1 4 2 3 2 2 2 3 1 5 1 6 4 The demand for region A is 70,000 units, for region B, 100,000 units; for region C, 50,000 units, and for region D. 80,000 units. Assume that the minimum capacity for each distribution center will be 500.000 units. a. Write the constraints for the three distribution centers. b. What is the constraint for the demand regions A? 23) An entrepreneurial resident of the Oklahoma City metropolitan area is interested in securing a new franchise for Mad Over Donuts. Ideally this franchise would be centrally located to delivery could be economically handled and all citizens could enjoy fresh, delicious donuts delivered to the doorstep. The main cities and anticipated demand NE MacBook Air II 4 ) F5 F6 F7 FB TO & 7 2 6 8 9 0 lahoma City metropolitan area is interested in securing a new for Mad Over Donuts. Ideally this franchise would be centrally located so delivery could be economically and all citizens could enjoy fresh, delicious donuts delivered to the doorstep. The main cities and anticipated in thousands per day) are shown in Table below. a. What is the appropriate (non-linear) objective function for this scenario (hint: distances are Faclidean)? b. Zoey's Catnip Toys faces the following relationship between price (P) and demand (v) v = 2000 - 200p, fixed cost is $500 and variable cost is SI, Write an expression for the total profit. c. What price should Zoey charge to maximize profit in question 23.b? I coordinate coordinate Dewand Jones 20 Luther Harrah 12 62 Edmond 25 Norman Moore 6 10 15 45 60 10 0 34 3 40 0 8 33 22 MacBook Air 1 FS FO 4) F7 FB 710 FU A % 5 6 & 7 * 00 il + 9 0