Question

A publishing company finds that the cost of publishing each copy of a certain magazine is k1.50. the revenue from dealers is k1.40 per copy. the advertising revenue is 10% of the revenue received from dealers for copies sold beyond 10000. what is the least number of copies which must be sold so as to have a profit for the company?

Answer 1

To determine the least number of copies that must be sold in order for the company to have a profit, we need to consider the costs and revenues. The cost of publishing each copy is k1.50, and the revenue from dealers is k1.40 per copy. In addition, the advertising revenue is 10% of the revenue from dealers for copies sold beyond 10000.

Step-by-step explanation:

To determine the least number of copies that must be sold in order for the company to have a profit, we need to consider the costs and revenues. The cost of publishing each copy is k1.50, and the revenue from dealers is k1.40 per copy. In addition, the advertising revenue is 10% of the revenue from dealers for copies sold beyond 10000.

Let's assume x is the number of copies sold. The revenue from dealers would be 1.40x. If x is greater than 10000, the advertising revenue would be 0.10(1.40x - 14000), otherwise it would be 0. The total cost is 1.50x.

To have a profit, the total revenue should be greater than the total cost. So we can set up the following equation: 1.40x + 0.10(1.40x - 14000) - 1.50x > 0. Solving this equation will give us the least number of copies that must be sold.