Correct Answer: C. hardwork

Explanation

(a) \(px - 2qx - 4qy + 2py\)

= \(x(p - 2q) + 2y(p - 2q)\)

= \((x + 2y)(p - 2q)\)

(b) \(U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}\)

\(P = {1, 2, 4, 6, 10} ; Q = {2, 3, 6, 9}\)

\((P \cup Q) = {1, 2, 3, 4, 6, 9, 10}\)

\((P \cup Q)' = {5, 7, 8}\)

\(P' \cap Q' = {3, 5, 7, 8, 9} \cap {1, 4, 5, 7, 8, 10}\)

= \({5, 7, 8}\)

Hence, \((P \cup Q)' = P' \cap Q'\).

Correct Answer: A. 20%

Explanation

Loss = N(100,000 - 80,000)

= N20,000.

Loss percentage = \(\frac{20,000}{100,000} \times 100%\)

= 20%

Correct Answer: D. burnt offerings

Correct Answer: c. Pot

Explanation

The objectives of price control (minimum and maximum) are:

(i) to prevent exploitation of consumers by producers.

(ii) to avoid or control inflation.

(iii) to help low income earners, e.g. minimum wage.

(iv) to control the profits of companies (especially monopolies).

(v) to prevent fluctuation in income of some producers, e.g. agricultural producers

(vi) to stabilize the income of some producers, e.g. farmers.

Correct Answer: D. N810

Explanation

(i) Channels of communication: Public opinion can be determined by exploring all the channels of communication, e.g. opinions expressed in Newspapers, radio, television etc.

(ii) Opinions expressed by leaders of thought: It can be measured through opinions expressed by local leaders of thought or leaders in the representative assemblies.

(iii) Letters to government: It can be measured through the letters written by citizens to the government agencies expressing their opinions on particular issues of national importance.

(iv) Response to government policies: It can be measured through mass protests and demonstrations for or against government programmes.

(v) Referendum or Plebiscite: Government may conduct a referendum or plebiscite to determine what the people want on any particular issue.

(vi) Telephone calls: Phone-in programmes on radio and television stations, especially in Nigeria, are a great way of measuring public opinion

Correct Answer: C. 800Hz

Explanation

No of holes x Revolution

F = N_H x N_R

= 32 x 25

= 800Hz

Explanation

a.

(I) Product concept: This is an orientation that assumes that the customer will favour products that are of high quality. Thus, companies concern themselves with quality, performance and innovative product features

(ii) Selling concept: The selling concept is based on the assumption that even when products are of high quality, available and affordable, consumers would still not buy unless they are persuaded to buy. thus, companies engage in promotional efforts to break consumers' resistance.

(iii) Production Concept: this concept assumes that consumers would buy products that are available and at lower prices, thus companies Concern themselves with mass production.

(iv) Societal marketing Concept: It is the concept that assumes that when a company is making marketing decisions, she would put into consideration the societal long term interest.

b.

i. Calculation of markup

markup = Selling price - Cost

= 6,000 - 4,000

= 2000

ii. Calculation of percentage markup on cost

Percentage markup on cost = \(\frac {Markup} {Cost} \times \frac{100}{1}\)

= \(\frac{2,000}{4,000} \times \frac{100}{1}\)

= 50%

iii. Calculation of percentage markup on selling price

Percentage markup on selling price = \(\frac {Markup} {Selling Price} \times \frac{100}{1}\)

= \(\frac{2,000}{6,000} \times \frac{100}{1}\)

= 33.33%