Question: Consider the following new constraint for this problem only: Organic Greenhouses has signed a contract to sell at least 2 acres of peppers. Tomato production

Consider the following new constraint for this

Consider the following new constraint for this problem only: Organic Greenhouses has signed a contract to sell at least 2 acres of peppers. Tomato production is not affected.

(a) Will the feasible region stay the same, increase, or decrease?

(b) Will the optimal value stay the same, increase, or decrease?

(c) If the new constraint does cause the optimal solution and optimal value to change, what are the new optimal solution and optimal value?

(d) Will the feasible region stay the same, increase, or decrease?

3. The formulation of the Organic Greenhouses problem and its graph is shown. Let P be the number of acres of peppers planted. Let T be the number of acres of tomatoes planted. 1:5p=6=> p=4 T=12-4=8 (4,8) Max: 30,000P + 40,000T st. 1P+1T 0 Non-negativity P >= (Non-reply) 100,10) PE 6 Max Pepper) Af Totes Feasible, region - No No LSP+ 3T 4= 30 Labor) P+1TR (Land) 0.01 00.00 1 T >= O (Narnepali 13 14 15 16 17 2 3 4 5 6 7 Acres of Peppers 8 9 10 11 12 18 19 20 21

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