Based upon market research, the Hawthorne Company has determined that consumers are willing to purchase 109 units of their portable media player each week when the price is set at $63.00 per unit. At a unit price of $12.80, consumers are willing to buy 360 units per week. (a) Determine the weekly demand equation for this product, assuming price, p, and quantity, x, are linearly related. p

The weekly demand equation would  be

Step-by-step explanation:

Since we have given that

Number of units of their portable media player = 109 units per week

Cost per unit = $63.00

At unit price of $12.80, consumer are buying 360 units per week.

So, here, p = $63.00 and x = 109 units

Here, price and quantity are linearly related by

If p = $12.80, x= 360

So, the equation of price would be

From eq(1) and (2), we get that

So, the value of b would be

So, the weekly demand equation would  be

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.