Question

A manufacture has been selling 1550 television sets a week at $510 each. a market survey indicates that for each $17 rebate offered to a buyer, the number of sets sold will increase by 170 per week. find the demand function p(x), where x is the number of television sets sold per week.

Answer 1

The demand function for the television sets can be represented as p(x) = 1550 + 10x, where x is the number of sets sold per week.

Step-by-step explanation:

To find the demand function, we need to determine the relationship between the number of television sets sold per week and the price. Let's start with the initial information given:

At a price of $510, 1550 television sets are sold per week.

According to the market survey, for each $17 rebate offered, the number of sets sold increases by 170 per week. We can represent this relationship as:

Number of sets sold per week = 1550 + 170 * (x/17)

Where x represents the number of $17 rebates offered, and (x/17) represents the number of increases in sets sold per week.

Therefore, the demand function is given by:

p(x) = 1550 + 10x

where x is the number of television sets sold per week and p(x) is the price.