precalculus
posted by starlight .
Using data from past years, the economists for smith brothers inc determined that the revenue f the company can be modeled by the function R(x)=0.0125x^2+412x. In addition, the function C(x)=12225+0.00135x^2 models the total cost of doing business, where x us v the number of customers patronizing the business in both functions.
A) how many customers just there be for ssmithmith bros inc to realize am annual profit of $60000?
I have no idea how to do modeling Function

what do you mean by "do" the function? They gave it to you.
Surely you know that profit = revenuecost, and they gave you both of those, so
P(x) = R(x)C(x)
= 0.0125x^2+412x  (12225+0.00135x^2)
= 0.01115x^2 + 412x  12225
So when does P(x)=60000? when x=174.48
so, they need 175 customers to make at least 60,000 profit.
See? Not so complicated, once you get past all the words.
Respond to this Question
Similar Questions

Maths
Demand function P=50Q Average Cost 5Q + 40 +10/Q Calculate the firm's total cost function Find the marginal cost function and evaluate it at Q=2 and Q=3 What is the total revenue function Find the firms's revenue maximising output … 
algebra
We did not find results for: suppose a company manufactures MP3 players and sell them to retailers for $98 each. it has a fixed cost of $262,500 related to the production of the MP3 players and the cost per unit is $23 what is the … 
Business Calculus
A company has operating costs of $2000 per thousand items produced. Its revenue function can be modeled by the equation: R(x)=30x/(x+2)² , where x is measured in thousands of items produced, and C and R are measured in thousands of … 
Calculus
The marginal revenue for x items in dollars is given by R′(x)=−4.5x+6. Determine (a) the revenue function and (b) the demand function. I know the revenue function is R(x)=6x2.25x^2 just by finding the antiderivative. demand … 
Math
A park is open 16 weeks of the year. An equation that models the cost function in thousands is: c(x){5, 0<x<5 where x is the number of weeks since opening and x, x>5} An equation that models the revenue function is r(x)=30(5/x^2+1) … 
math
A tire company determines that to manufacture a certain type of tire, it costs $9000 to set up the production process. Each tire that is produced costs $21 in material and labor. The company sells this tire to wholesale distributors … 
Quantitative Business Analysis
John is considering adding balloons to the product line he sells at the shop. There will be a cost of $200.00 for leasing the necessary equipment. The cost of buying balloons and helium and paying a worker is expected to be $4.25 per … 
Math
Kool Klothes has determined that the revenue function for selling x thousand pairs of shorts is R(x) = 5x^2 + 21x. The cost function C(x) = 2x + 10 is the cost of producing the shorts. a) How many pairs of shorts must the company … 
math
Kool Klothes has determined that the revenue function for selling x thousand pairs of shorts is R(x) = 5x^2 + 21x. The cost function C(x) = 2x + 10 is the cost of producing the shorts. a) How many pairs of shorts must the company … 
MATHS
A company is a monopolist. The demand function for its product is as follows: Q = 60 – 0.4P + 6Y + 2A Where Q = quantity sold in units P = Price per unit Y = per capita disposal income (thousands of dollars) A = hundreds of dollars …