K← D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D(x)= - 3 10 x+13, S(x)=x+5 (a) Find the equilibrium point. (Type an ordered pair, using integers or decimals.) Inc.

If the revenue function for a particular commodity is R(p) = -55p2 + 65p, what is the (linear) demand function q(p)? q(p) = Give a reason for your answer. R= pq R=9-P R=9 P R-p+q P R= ala

A manufacturing company purchases new products each year for use in the company. The product cost Rs.45,000 new. They are use for 3 years, after with they are sold for Rs. 80,000. The owner of the company estimates the variable cost of operating the products exclusive of engine, are Rs 0.96 per kilometer. Products are manufactures for a flat fee of Rs. 0.63 per kilometer (engine not included) A: Formulate the total revenue function associated with selling of the products of x kilometer over 4 year’s period. B: Formulate the total cost function associated with selling of the products of x kilometer over 4 years period C: Formulate the total profit function associated with selling of the products of x kilometer over 4 years period D: What is the profit if a product is a manufactured for 83,000 kilometers over a 4 years period? E: What kilometer age is required in order to urn 0 profit for 3 years? F: What is the restricted domain and restricted range for the function?

D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D(x) = - 7 1 x + 16, S(x)=x+4 10 (a) Find the equilibrium point. (Type an ordered pair, using integers or decimals.) (b) Find the consumer surplus at the equilibrium point. (Type an integer or a decimal.) (c) Find the producer surplus at the equilibrium point. (Type an integer or a decimal.) ✔

The supply and demand function for a product are qs=p2 -200 and  qd=p2-20p+400. Determine the market equilibrium price and quantity.   A bank account pays 5.5% annual interest, compounded monthly. How long will it take the money to double in this account? If the present value is Rs.1, its future value is Rs.2. The bank is compounding monthly; thus, the interest rate is 5.5/12 percent per month.

D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D(x) =5-x, for 0sx<5, S(x)=x+1 (a) What are the coordinates of the equilibrium point? Type an ordered pair.)

18. The profit in dollars from the sale of x expensive watches is P(x) = 0.06x²-3x+7x0.4-5100. Find the marginal profit when (a) x= 300, (b)x=2000, (c) x=6000, and (d) x = 12,000. (a) When x = 300, the marginal profit is $ (b) When x=2000, the marginal profit is $ (c) When x = 6000, the marginal profit is $ (d) When x = 12,000, the marginal profit is $ (Round to the nearest integer as needed.) (Round to the nearest integer as needed.) .(Round to the nearest integer as needed.) (Round to the nearest integer as needed.) 19. Often sales of a new product grow rapidly at first and then level off with time. This is the case with the sales represented by the function S(t) = 100-500t, where t represents time in years. Find the rate of change of sales for the following number of years. a. 4 years The rate of change in sales after 4 years is (Type an integer or decimal rounded to the nearest thousandth as needed.) b. 9 years The rate of change in sales after 9 years is (Type an integer or…

The demand for watches is given by p = 7000 − 2q dollars,and the supply of watches is given by p = 0.01q^2+ 2q + 1000 dollars,where q is the number of watches demanded and supplied when the price perwatch is p dollars. Based on the information provided, calculate the equilibriumquantity and the equilibrium price for watches.