If total revenue received from the sale of x items is given by R(x)=10ln(5x+1), while the...

If total revenue received from the sale of x items is given by R(x)=10ln(5x+1), while the total cost to produce x items is

C(x)=x/5 find the following.

(a) The marginal revenue

(b) The profit function P(x)

(d) Interpret the results of part (c).

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

question 1: The total revenue received from the sale of x units of a product is...

question 1: The total revenue received from the sale of x units of a product is given by TRx= -3x^5 + 3/2 x^4+ x/4+ 12square x+ 6y Find the Average revenue AR. Marginal revenue MR. MR at x = 4. The actual revenue from selling10th item. Write down different rule of derivative. question 2 : Calculate the principle amount borrowed from the bank for 20 months at a rate of 7 3/4 % per annum with interest of...

The total revenue (in hundreds of dollars) from the sale of x spas and y solar...

The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is approximated by R(x,y) = 11+196x+218y−8x^2−7y^2−4xy. Find the number of each that should be sold to produce maximum revenue. Find the maximum revenue. Find the derivatives Rxx, Ryy, and Rxy. Rxx=____ Ryy=____ Rxy=____ Selling spas _____ and _____solar heaters gives the maximum revenue of $_____.

The total revenue, in thousands of dollars, from the sale of x spas and y solar...

The total revenue, in thousands of dollars, from the sale of x spas and y solar heaters is approximated by R(x,y)= 12+74x+85y-3x^2-5y^2-5xy. find the number of each that should be sold to procude maximum revenue. Find the maximum revenue.

For the following exercises, the revenue generated by selling x items is given by R(x) = 2x2 + 10x. Find R′(10) and interpret.

For the following exercises, the revenue generated by selling x items is given by R(x) = 2x2 + 10x.Find R′(10) and interpret.

1) Deferred revenue occurs when cash is received from a customer before work or the sale...

1) Deferred revenue occurs when cash is received from a customer before work or the sale is completed. True False 2) In accrual accounting, revenue may be earned prior to or after cash is received. True False 3)An expense incurred in 2016 is not paid until 2017. Using the accrual basis of accounting, the expense should appear on: A.both the 2016 and 2017 income statements B.the 2016 income statement C.neither the 2016 nor 2017 income statement D.the 2017 income statement...

Profit = Revenue - Cost P(x) = R(x) - C(x) Given: R(x) = x^2 - 30x...

Profit = Revenue - Cost P(x) = R(x) - C(x) Given: R(x) = x^2 - 30x Given: C(x) = 5x + 100 X is hundreds of items sold / P, R, C are in hundreds of dollars (1) Determine the Initial Cost? (2) Determine the maximum Profit and number of items required for that profit? (3) Determine the maximum Revenue and number of items required for that revenue? (4) Find the break even points, P(x) = 0. What do the...

If the total revenue function for a computer is R(x) = 1200x − 32x2 − x3,...

If the total revenue function for a computer is R(x) = 1200x − 32x2 − x3, find the level of sales, x, that maximizes revenue and find the maximum revenue in dollars. x = computers R(x) = $ B.) The profit per acre from a grove of orange trees is given by x(270 − x) dollars, where x is the number of orange trees per acre. How many trees per acre will maximize the profit? trees per acre

1)The total profit P(x) (in thousands of dollars) from a sale of x thousand units of...

1)The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x)= ln (-x3+9x2+48x+1) (0≤x≤10). a) Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit? 2)Suppose that the cost function for a product is given by C(x)=0.003x3+9x+9,610. Find the production level (i.e., value of x) that will produce the minimum average cost per unit C(x). a)The...

A firm’s revenue is given as: R= 100q + 8q2. The firm’s total cost of production...

A firm’s revenue is given as: R= 100q + 8q2. The firm’s total cost of production is given as: C= 250 + 500q. Find out the firm’s profit-maximization level of output (q*). What will be the market price at which the firm sells the output, q*?

4. Premium received from sale of the call is $0.01, X = $0.76, S = $$0.82....

4. Premium received from sale of the call is $0.01, X = $0.76, S = $$0.82. The size of the call is 50,000 units. What is the net profit for the seller of call option? 5. Premium received from sale of the put is $0.03, X = $0.75, S = $$0.72. The size of the put is 50,000 units. What is the net profit for the seller of put option?

Subjects