The profit of a firm is described by the following function: f(Q) = -4Q^3 +48Q^2 - 117Q - 100 where Q is the quantity produced a) Find the stationary points for this function b) Using the first derivative test, find for what value of Q is the profit maximised. c) Find the feasible values of Q where the graph of the profit function is concave up. Show working
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Please provide authentic and correct solution for all parts. For part (b) please use first derivative. Please dont make any mistakes. Greatly Appreciated!
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Could you please use the first derivative for part (b), not the second derivative? Could you ensure that you use a table when comparing values when getting the profit maximising? Greatly Appreciated!!
- y = min(x1, x2) find input demand function find profit function.E. A firm has the production function f(T1, 12) = 1750 , 50 What is the marginal rate of technical substitution (M RTS)? (a) MRTS =-1 2.5x, (b) MRTS = -x2/x1 (c) MRTS = -5x2/01 (d) MRTS =-0.5x2/21 (e) MRTS = -0.2x2/21 %3D %3D6 A production function is given by f(x1,x2)=(max{x1,x2})^0.5. Prices of inputs are p1=10 and p2=20. What is the lowest cost of producing 10 units of output?
- please analyze the behavior of cost function and interpret the constant term in the expression of C(q)You are an accountant for a manufacturer of radios. The demand function for the tablets is p= 40– 4x² where x is the number of tablets produced in millions. It costs the company $15 to make a tablet. (i). Write an equation for the manufacturer's profit as a function of the number of tablets produced. (ii). The company currently produces 1 million tablets and makes a profit of $21,000,000, but you would like to scale up production a bit. What greater number of tablets could the company produce to yield the same profit?At a price of R 8 per item consumers will buy 1500 units. If the company increases the price by R1 per item, the number of items that the consumers will buy will decrease by 75. i) Does the function described represent a supply or demand curve? Find the formula of the function given that it is a linear function. ii) Find the price that will maximize the revenue.
- What is a production function? Response option group It is the production technology It is the relationship between inputs and the level of production It is the average product It is the marginal productExercise A.5 A company operates with production function q-K¹/2 [1/2 a) What type of returns to scale does this production function present? As production varies, how would you expect long-term average costs to evolve? b) Assume that the firm's capital equipment is fixed and equal to K = 100 units. Find the firm's short-run production function and the marginal productivity of labour and graph these functions. As production varies, how would you expect marginal costs to evolve in the short term? c) If the prices of capital and labour are r = 8€ and w = 2€ respectively, obtain the expression of the short-run total cost function of the firm. b) Obtain the expressions of the functions of short-term average total costs, average variable costs and marginal costs of this company. Find the production level for which the average total cost is minimized and the corresponding average total cost level. d) Indicate the value of the average total cost, the average variable cost and the marginal cost…You are selling ice cream bars from a cart. You sell them for $0.75 per bar. Your cost for the ice cream is $0.30 per bar, and your cost for the rental of the cart is $50.a) Write a formula for your profit from selling ice cream bars. Be sure to identify all yourvariables and the units used.b) What is the slope of the profit function? What is its meaning in terms of selling icecream bars?c) What is the vertical intercept of the profit function? What is its meaning in terms ofselling ice cream bars?d) What is the horizontal intercept of the profit function? What is its meaning in termsof selling ice cream bars?
- 5. Profit: iPhones Assume that Apple's marginal cost function for the manufacture of x 32GB iPhone 6's per hour at the Foxconn Technology Group is C'(x)=160-0.002.x and that Apple sells iPhone 6's for an average wholesale price of $580 each. a. Find the cost function C (x)The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x) = 28x + 20,160 and R(x) = 200x - 0.2x2 for 0sxs 1000. Find the value of x where the graph of R(x) has a horizontal tangent line. Find the profit function P(x). Find the value of x where the graph of P(x) has a horizontal tangent line. Graph C(x), R(x), and P(x) on the same coordinate system for 0 sxs 1000. Find the break-even points. Find the x-intercepts of the graph of P(x).: Suppose that the production functions be like as (A) i) Y = X15 X20.5 ii)Y= X10.5 + X20.5 Find MRTS of these functions