
If the demand for a certain product is given by the equation p = - 3x...
Question s (20 pts) For a certain manufacturer, the demand function is given by P-34 and the total cost function is TC 357q2+1800q, find: a) Total Revenue function (4 pts) b) Profit function (5 pts) c) Marginal profit function (4 pts) d) Marginal revenue function (4 pts) e) Marginal Cost function (3 pts) +600g Question 6 (20 pts) a. Given a marginal cost function: 0.000204q-0.046q + 6. When the fuxed cost s $15,000, find the total cost for producing 200...
Question 2: Find for the following functions: (1) y=-42x2-3x -! 7x? -5x + 9 (3) y= x+5 (5) Y= 7+3 (y = (3x* + 3x + 2)(x+1) (7) y =(5x + 7x) Page 1 of 2 Question 3: (0) Find the slope of the graph of y=f(x) = 3x - 6x +1 at the point (2,1) (ii) Find the equation of the tangent line to the curve y = f(x) = x*-10x2 + 9 at x=-1 (iii) Find the equation...
42. Demand Equation The price p and the quantity x sold of a certain product obey the demand equation x20p +500, 0sps 25 (a) Express the revenue R as a function of x. (b) What is the revenue if 20 units are sold? (c) What quantity x maximizes revenue? What is the maxi- mum revenue? (d) What price should the company charge to maximize rev- enue?
6. (20 points) The demand equation for a certain types of shoes is given by p100e-0.0 where p is the price in dollars and q is the quantity of pair of shoes sold per month with 0 S 4 5 200 Find the valuc of a that will maximize the revenue. and aptotu re 6. Page 4
6. (20 points) The demand equation for a certain types of shoes is given by p100e-0.0 where p is the price in dollars...
Part 2 A firm specializes in the production of a certain product X. The demand for its new brand of product X is given by: Q = 1,000 - 4Px. Assume that you are the manager of the firm and you must determine the best price to charge for the good. The marginal cost of producing product X is zero. 1. Determine the inverse demand equation of product X. 2. Determine the marginal revenue as function of the quantity demanded...
D Question 1 1 pts If the cost of a certain product is given by C(x) - 130.4x find the marginal average cost function and use it to compute the marginal average cost of production when 5 items are produced. Give answer rounded to two decimal places. (1 point) Question 2 1 pts Gluen y = [lx' +2x + 4)(x + 1)l' calculate the derivative of this function when x 2 The derivative is L? (1 point 1 pts Question...
1. Recall that the elasticity of demand is defined by
E(p) = −pf0 (p) f(p) (
a) Let the demand equation for hand sanitizer be given by f(p) =
p 20 − p 2 Find E(p) and then compute E(4).
(b) If E(p) = 1.5, interpret what this would mean for the
selling of hand sanitizers.
2. Suppose the demand of mathematical textbooks is given by the
equation d(x) = x 2 + 6x + 2
(a) State the revenue...
Find the equation of the tangent line to the curve when x has the given value. 7) f(x) = 4,x=5 8) f(x) = }x=3 11) Solve the problem. 11) The profit in dollars from the sale of thousand compact disc players is P(x) = x3 - 5x2 + 3x + 8. Find the marginal profit when the value of x is 6. 12) 12) Ir the price of a product is given by Px) E 1200, where x represents the...
The demand equation for a certain product is given by p = f(q) = 25/3q2 +2 where p is the unit price in dollars and q is the quantity demanded each year, measured in thousands of units. It is expected that the demand will be 2000 units for the year, with a maximum error of 10%. What is the maximum error in the predicted price?
If the supply curve is given by the equation P 10 + 4Q, and the demand curve is given by the equation P 185-10Q, then a price-ceiling set at Pax $50 will result in a dead-weight loss of CA. $40.25 B. $20.50 C C. $45.00 C D. $43.75 C A monopolist faces a downward sloping demand curve,P 2540-30.00.Total revenue will e maximized at the quantity of OA 127.0 OB. 8.5 OC 28 OD.4.2 Amonapolst foces a downward sloping demand curve...