these problems are gonna be the death of me!!!
No. 9
Find the axis, vertex, maximum or minimum, intercepts, and range of the function
G(x) = -x2 - 6x - 4.
No. 10 (Market research)
The market research department of a company recommended to management that the company manufactures and markets a promising new product. After extensive surveys, the research department backed up the recommendation with the demand equation
x = 5,000 - 50p ,
Where x is the number of units that retailers are likely to buy per month at $p per unit.
Notice that as the price goes up, the number of units goes down.
From the financial department, the following cost equation was obtained:
C = 40,000 + 12x .
The revenue equation (the amount of money, R, received by the company for selling x units at $p per unit) is
R = xp , i.e. Revenue = (Number of units)(Price per unit).
(a) Express revenue R as a quadratic function of price p.
(b) Find the price that produces the maximum revenue.
No. 9
Find the axis, vertex, maximum or minimum, intercepts, and range of the function
G(x) = -x2 - 6x - 4.
No. 10 (Market research)
The market research department of a company recommended to management that the company manufactures and markets a promising new product. After extensive surveys, the research department backed up the recommendation with the demand equation
x = 5,000 - 50p ,
Where x is the number of units that retailers are likely to buy per month at $p per unit.
Notice that as the price goes up, the number of units goes down.
From the financial department, the following cost equation was obtained:
C = 40,000 + 12x .
The revenue equation (the amount of money, R, received by the company for selling x units at $p per unit) is
R = xp , i.e. Revenue = (Number of units)(Price per unit).
(a) Express revenue R as a quadratic function of price p.
(b) Find the price that produces the maximum revenue.
