Please answer all parts to this questions :) Represent the situation as a game a

Question

Please answer all parts to this questions :)

Represent the situation as a game and find the optimal strategy for each player. State your final answer in the terms of the original question. A farmer grows apples on her 600-acre farm and must cope with occasional infestations of worms. If she refrains from using pesticides, she can get a premium for "organically grown" produce and her profits per acre increase by $300 if there is no infestation, but they decrease by $100 if there is. If she does use pesticides and there is an infestation, her crop is saved and the resulting apple shortage (since other farms are decimated) raises her profits by $200 per acre. Otherwise, her profits remain at their usual levels. No pesticides () r_1 = r_2 = c_1 = c_2 = v = How should she divide her farm into a "pesticide-free" zone and a "pesticide-use" zone? (Round your answers to two decimal places.) The farmer should set aside acres for pesticide-free apples and use pesticide on the other acres. What will be her expected increase in profits per acre with this strategy? This strategy will increase her expected profits by $ per acre.

Explanation / Answer

Let X be number of acres with no pesticides

Y = with pesticides

X + Y = 600

Profit:

No infestation:

P = 300X

With Infestation:

P = -100X + 200Y = -100X + 200 (600-X) = -300X+120000

Expected profit:

300X = -300X + 120000

X = 200 acres as no pesticides and 600 - 200 = 400 acre as pesticides

Expected profit per acre = 300X/600 = 300*200/600 = $100 per acre

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.