Neco Model Questions Vol1 2017 Mathematics Question 19

Practice objective / multiple choice question 19 from the 2017 Neco Model Questions Vol1 Mathematics examination. This question covers General .

Neco Model Questions Vol1 2017 Mathematics Objective / Multiple Choice 1 Difficulty
Topic: General
Question 19 NECO_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • objective

The total production cost \(C\) (in Naira) for \(x\) units of a product varies with the square of the number of units plus a fixed overhead, i.e., \(C = a x^{2} + k\). When 100 units are produced the cost is ₦5 000, and when 200 units are produced the cost is ₦18 000. Determine the overhead cost \(k\) and then compute the total cost for producing 150 units.

Answer Options

Correct Answer A. \( k = \frac{2000}{3}\ \text{Naira}, \; C_{150}=\frac{31250}{3}\ \text{Naira} \;(\approx 10416.67\text{ N}) \)
B. \( k = \frac{1800}{3}\ \text{Naira}, \; C_{150}=\frac{30000}{3}\ \text{Naira} \;(\approx 10000\text{ N}) \)
C. \( k = \frac{2500}{3} \ \text{Naira}, \; C_{150}= \frac{33750}{3} \text{Naira} \;(\approx 11250\text{ N}) \)
D. \( k = \frac{2200}{3} \text{Naira}, \; C_{150}= \frac{33000}{3} \text{Naira} \;(\approx 11000\text{ N}) \)
Correct Answer
A
Correct Option:
\( k = \frac{2000}{3}\ \text{Naira}, \; C_{150}=\frac{31250}{3}\ \text{Naira} \;(\approx 10416.67\text{ N}) \)

About This Question

This is Neco Model Questions Vol1 2017 Mathematics Question 19. It is one of the objective questions from the 2017 Neco Model Questions Vol1 Mathematics examination.

The question covers General .

Difficulty level: 1 .

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