Is there any raw material left over? (If so, give the amount remaining. If not,

Question

Is there any raw material left over? (If so, give the amount remaining. If not, enter 0.) cast iron 0 labor labor-hr Need Help? eMaterTalk toa Tuter My Notes . A company manufactures Products A, B, and C. Each product is processed in three departments: I,II, and III. The b labor-hours per week for Departments I, II, and III are 900, 1080, and 840, respectively. The time requirements (in 0.44/1 points | Previous Answers TanFin11 4.1.041 unit) and profit per unit for each product are as follows. Product B Product C Product A 2 Dept. I Dept. II Dept. III 2 Profit $12 58 s10 How many units of each product should the company produce in order to maximize its profit? Product A Product B Product C units units units What is the largest profit the company can realize? Are there any resources left over? (If so, enter the amount remaining. If not, enter 0.) labor in Dept. I labor-hours labor in Dept. II 0 labor in Dept. III0 labor-hours Need Help? ReMester Tath to Tuter hhy Notes Ask Solve the linear programming problem by the simplex method. Maximize Px+2y- subject to 2xyzs 8 4x +2y+ 3z s 16

Explanation / Answer

LPP formulation
maximize Z = 12x + 8y + 10z
subject to,
2x + 1y + 2z <= 900
3x + 1y + 2z <= 1080
2x + 2y + 1z <= 840

Solving this we get

x = 180.0000
y = 140.0000
z = 200.0000

Objective function Z = 5280.0000

product A 180 units
product B 140 units
product C 200 units

Largest profit = $5280

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