Gce Model Questions Vol1 2025 Agricultural Science Question 45

Practice objective / multiple choice question 45 from the 2025 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2025 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 45 GCE_MODEL_QUESTIONS_VOL1 • 2025 • AGRICULTURAL_SCIENCE • objective

A soybean farmer's total cost (in thousand Naira) for producing \(Q\) tonnes is \(C(Q)=0.5Q^{2}+4Q+20\). The market price per tonne follows the linear demand equation \(P=120-0.4Q\). (i) Derive the profit function \(\pi(Q)\). (ii) Determine the production level \(Q\) that maximises profit (give \(Q\) to two decimal places). (iii) Calculate the maximum profit (in thousand Naira, to two decimal places) and state whether it is positive, zero or negative.

Answer Options

Correct Answer A. Q = 64.44 tonnes; profit = 3714.78 thousand Naira; positive
B. Q = 60.00 tonnes; profit = 3400.00 thousand Naira; positive
C. Q = 68.90 tonnes; profit = 3900.55 thousand Naira; positive
D. Q = 64.44 tonnes; profit = 0.00 thousand Naira; zero
Correct Answer
A
Correct Option:
Q = 64.44 tonnes; profit = 3714.78 thousand Naira; positive

About This Question

This is Gce Model Questions Vol1 2025 Agricultural Science Question 45. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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