The marketing research department for a company that manufactures and sells laptop computers
established the following price-demand and cost functions, respectively:
p (x) = 1,000 - 25x
C(x) = 2,150 + 250x
where p() is the wholesale price in United States dollars at which y thousand laptops can be sold and
C(x) is in thousands of dollars. The domain of both functions is, 1 < x < 10.
Formulate a revenue function (R (x), and a profit function P(x), assuming both are in
thousands of dollars.
Graph the functions C(x), R(x) and P(x) using the same cartesian plane.
Find the value of r that will produce the maximum revenue. What is the maximum revenue to
the nearest thousand dollars?
What is the wholesale price per computer (to the nearest dollar) that produces the maximum
revenue?
Find, algebraically, the break-even points.
For what values of y will a loss and a profit occur?
Find the value of y that produces the maximum profit. Find the maximum profit.
The marketing research department for a company that manufactures and sells laptop computers
established the following price-demand and cost functions, respectively:
p (x) = 1,000 - 25x
C(x) = 2,150 + 250x
where p() is the wholesale price in United States dollars at which y thousand laptops can be sold and
C(x) is in thousands of dollars. The domain of both functions is, 1 < x < 10.
formulate a revenue and a profit function
On 29 March 2022,Justin deposited 3500 into savings account.The simple interest rate agreed upon was7,5%per year.The accumulated amount in the savings on 10 october 2022 is
2. Monthly payments of P10,000 for 4 years that will start 3 months from now
a) A woman who has won a prize is offered a lump sum of 100000 to invest now or 55000 to invest at the end of this year .If all investments are assumed to earn 7% per annum which should she choose if she wants to withdraw the money after
i) 4 years
2 years
Tshepo want to buy a big screen TV.She has five interests rates to choose from if she borrows the money from the bank.the cheapest option
*29%per year,compounded daily
*30%per year, compounded semi annually
*28.5%pet year, compounded weekly
*29.5%per year, compounded every 2 months.
On 29 March 202,Justin deposited 3500 into savings account.The simple interest rate agreed upon was7,5%per year.The accumulated amount in the savings account on 1 October 2022 is?
Determine the present value of loan if R12000 is due in 5 years,at a simple discount ra15% per annum
An effective rate of 29.61% corresponds to a nominal rate,compounded weekly,of?
Xander writes textbooks that sell for x dollars. He received a bonus of $2,500 for signing a contract, and he receives 8% commission on each book sale. Express the total amount of income Xander earns from selling y books algebraically.