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A specific
44-4P-Q=0
Find out quantities at which Price and Marginal Revenue are equal to Zero?
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- if total revenue function is given as; TR=(q2-8q+7)4 find the marginal revenue if the demand function is P= 30q2/5q+1, find dp/dqplease solve question 4- Prove that total revenue is maximized for a linear demand function, P = a - bQ point where Q = a / 2 * b . - Minimize the following cost function: TC = 1/3 * Q ^ 3 - 8.5Q ^ 2 + 60Q + 27The Lumins Lamp Company, a producer of old-style oil lamps, estimated the following demand function for its product:Q = 120,000 - 10,00Pwhere Q is the quantity demanded per year and P is the price per lamp. The firm’s fixed costs are $12,000 and variable costs are $1.50 per lamp.a. Write an equation for the total revenue (TR) function in terms of Q.b. Specify the marginal revenue function.c. Write an equation for the total cost (TC) function in terms of Q.d. Specify the marginal cost function.e. Write an equation for total profits (π) in terms of Q. At what level of output (Q) are total profitsmaximized?What price will be charged? What are total profits at this output level?f. Check your answers in Part (e) by equating the marginal revenue and marginal cost functions, determined in Parts (b) and (d), and solving for Q.g. What model of market pricing behavior has been assumed in this problem?
- The demand equation of a product is p=100/q+10. Find the marginal revenue when q=10.Economic Total revenue from the sale of X is given by the equation R=100Q-2Q2. Calculate the value of marginal revenue with the point price elasticity of demand when marginal revenue=20.A demand function of a company is given by the equation P= 6.51 - ln(Q) (A) Find the total revenue (TR) (B) Find the marginal revenue (MR) (C) Determine the output Q at which TR is a maximum
- Given the demand function. P=16?−0.02? • Determine the quantity and price at which total revenue will be maximized. • test the second-order condition.Find the marginal revenue function for the demand function, Q=24-2P and evaluate at Q=10 .Q)Total revenue from the sale of X is given by the equation R=100Q-2Q2. Calculate the value of marginal revenue with the point price elasticity of demand when marginal revenue=20. Economic
- Consider the total revenue function, TR = 53 + 8Q + 6Q^2 Find the marginal revenue (MR) at Q= 6.Derive and graph demand curve, marginal revenue, total revenue and price elasticity when given a linear demand functionFor the demand function Q = 50 – P, what is the Q that maximizes Total Revenue , and the Q where Marginal revenue is zero?