Maths
posted by Trina
A company is planning to manufacture and sell a new headphone set. After conducting extensive market surveys, the research department provide the following estimates: Marginal costs function: c^' (x)=RM(40+0.4x) where x is the quantity sold for the fixed cost of RM 600. At the price of RM 100, 30 units of headphones were sold and at the price of RM 60, 50 units of headphones were sold:
1.What is the cost function

Steve
c'(x) = 40 + 0.4x
c(x) = 40x + 0.2x^2 + k
Now plug in your known value of c(0) = 600
c(x) = 600 + 40x + 0.2x^2
Respond to this Question
Similar Questions

Algebra
1.In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available … 
economics
a firm is planning to manufacture a new product. the sales department estimates the quanity that can be sold depends on the selling price. as the selling price is increased, the quantity that can be sold decreases. they estimate: P=$350.02Q … 
economics
a firm is planning to manufacture a new product. the sales department estimates the quanity that can be sold depends on the selling price. as the selling price is increased, the quantity that can be sold decreases. they estimate: P=$350.02Q … 
Calc BC
A shoe company will make a new type of running shoe. The fixed cost for the production will be $54,000. The marginal cost will be $25 per pair of shoes. The shoes will sell for $115 for each pair. a) Write the cost function b) Write … 
Math
A shoe company will make a new type of running shoe. The fixed cost for the production will be $54,000. The marginal cost will be $25 per pair of shoes. The shoes will sell for $115 for each pair. a) Write the cost function b) Write … 
Math
The Oliver Company plans to market a new product. Based on its market studies, Oliver estimates that it can sell up to 2,000 units in 2005. The selling price will be $5 per unit. Variable costs are estimated to be 20% of total revenue. … 
Calculus
A company manufactures widgets. The daily marginal cost to produce x widgets is found to be C'(x) = 0.000009x^2  0.009x + 8 (measured in dollars per unit). The daily fixed costs are found to be $120. a. Use this information to get … 
maths
A company is planning to manufacture and sell a new headphone set. After conducting extensive market surveys, the research department provide the following estimates: Marginal costs function: c^' (x)=RM(40+0.4x) where x is the quantity … 
Microeconomics
Macro Sound's is a monopolistic firm of producing headphones. Fixed daily cost of production is $1800. The production of each extra headphone is a constant of $28. From the experiences, it is known that if the price of its headphones … 
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 …