The revenue of a notebook salesman is R(x)=0.01x^2+15x+100. X is measured in 10 notebooks and R(x)...

The revenue of a notebook salesman is R(x)=0.01x^2+15x+100. X is measured in 10 notebooks and R(x) is measured in hundreds of dollars.

Th cost is measured C(x)=0.02x^2+5x

Calculate the profit function

Calculate the marginal revenue function

Calculate the marginal cost function

Calculate the average cost function

Calculate the marginal average cost function

Calculate the marginal profit function

Expert Solution

milcah answered 2 years ago

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...

f(x) = 15x^4-3x^5 / 256. f'(x) = 60x^3 - 15x^4 / 256 f''(x) = 45x^2 -...

f(x) = 15x^4-3x^5 / 256. f'(x) = 60x^3 - 15x^4 / 256 f''(x) = 45x^2 - 15x^3 / 64 Find the horizontal and vertical asymptotes Find the local minimum and maximum points of f(x) Find all inflection points of f(x)

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.

Let f (x) = 12x^5 + 15x^4 − 40x^3 + 1, defined on R. (a) Find...

Let f (x) = 12x^5 + 15x^4 − 40x^3 + 1, defined on R. (a) Find the intervals where f is increasing, and decreasing. (b) Find the intervals where f is concave up, and concave down. (c) Find the local maxima, the local minima, and the inflection points. (d) Find the Maximum and Minimum Absolute of f over [−2, 2].

Let P(x,y) = -15x^2 -2y^2 + 10xy + 10x +8y + 11 where P(x,y) is the...

Let P(x,y) = -15x^2 -2y^2 + 10xy + 10x +8y + 11 where P(x,y) is the profit in dollars when x hundred unit of item A and y hundred units of item B are produced and sold. A.Find how many items of each type should be produced to maximize profit? B.Use the Second Derivates Test for local extrema to show that this number of items A and B results in a maximum?

x=0 x=2.5 x=5 x=7.5 x=10 x=12.5 pA tAx R(x) Land Rent(x) = Revenue(x)/unit area - Transport...

x=0 x=2.5 x=5 x=7.5 x=10 x=12.5 pA tAx R(x) Land Rent(x) = Revenue(x)/unit area - Transport Costs(x)/unit area or R(x) = pA - tAx for all farmed locations. Assume that in the base case p = 10, A = 100, and t = 2. Use the table to calculate R(x) a) Draw rent as a function of distance from the central railyard. b) What is the land rent at x = 12.5? Explain. c) Suppose that the price of apples...

The marginal revenue for x of a certain industrial machine is R'(x) = 5,000 - 8x2...

The marginal revenue for x of a certain industrial machine is R'(x) = 5,000 - 8x2 dollars per year and the marginal cost of the industrial machines is C'(t) = 3,500 + 13x2 dollars per year. 1. Find the Marginal Profit for 4 industrial machines. Interpret MP(4) in economic terms. 2. Sketch a graph of the marginal profit function. Carefully label the function and the y intercept. Meaningfully label the x and y axes. 3. On the above graph, shade...

g(x, y) = 2x 3 + 9xy2 + 15x 2 + 27y2 Find all the critical...

g(x, y) = 2x 3 + 9xy2 + 15x 2 + 27y2 Find all the critical points of the following functions. For each critical point of g(x, y), determine whether g has a local maximum, local minimum, or saddle point at that point.

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the...

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sales of x items. If R(x) = 6x and C(x) = 0.004x^2+2.7x+70, find each of the following: a) P(x) = b) R(150), C(150), and P(150) c)R'(x), C'(x), P'(x) d) R'(150), C'(150), and P'(150)

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the...

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 6x and C(x) = 0.005x^2 + 2.5x + 40, find each of the following. a) P(x) b) R(150), C(150), and P(150) c) R'(x), C'(x), and P'(x) d) R'(150), C'(150), and P'(150)

Question

The revenue of a notebook salesman is R(x)=0.01x^2+15x+100. X is measured in 10 notebooks and R(x)...

Solutions

Expert Solution

Related Solutions

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

f(x) = 15x^4-3x^5 / 256. f'(x) = 60x^3 - 15x^4 / 256 f''(x) = 45x^2 -...

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

Let f (x) = 12x^5 + 15x^4 − 40x^3 + 1, defined on R. (a) Find...

Let P(x,y) = -15x^2 -2y^2 + 10xy + 10x +8y + 11 where P(x,y) is the...

x=0 x=2.5 x=5 x=7.5 x=10 x=12.5 pA tAx R(x) Land Rent(x) = Revenue(x)/unit area - Transport...

The marginal revenue for x of a certain industrial machine is R'(x) = 5,000 - 8x2...

g(x, y) = 2x 3 + 9xy2 + 15x 2 + 27y2 Find all the critical...

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the...

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the...