a.
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b.
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c.
Since the profits are positive, therefore, the sales on the day 6 will increase.
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d.
The first derivative of profit function is positive. It means that producer should have stopped selling the goods. Therefore, the predicted sales of day 6 will be an overestimate.
16. Given the following profit function: π(x) = x3-6x2-3x + 25 where x is the number...
12. Given the demand function is Q 180 5P, find the following: a The revenue finction b. The revnue maximizing output and price c. The own-price elasticity of demand at P $80 d. The level ofe and P where the own-price elasticity of demand (ED) is equal to one, in absolute value. What is the nature of total revenue when lEDl 1? 13. Assume that the demand function is Q demand at each of the following prices a. b. $7...
Question 3 4 pts Find the second derivative of the following function: x3-6x2+1 (a)3x+12 (b)3x-12 (c)6x-12 (d)6x+12 (e) 0 (a) (b) O (c) O (d) (e)
16. Divide: X-3 1 [A] x2 + 3x + 2 [B] x3 +3x2 + 3x – 1 X-3 3 5 [C] x2 + 3x + 14+ [D] x2 +3x+9+ 20 x-3 [E] None of these X-3 е е
Consider the function f(x) = x ln(3x+1) (a) Find the derivative (b) Write the linearization of f at x = 2 (c) Use your linearization to estimate f(2.5) (d) Draw a sketch of the function in the space below, using a solid line for f(x). On the same coordinate plane, draw a sketch of the linearization using a dotted line. Please use values 0<x<5(or equal to) on the x-axis (e) Is your estimate from part c an overestimate or underestimate?
PLEASE WRITE NEATLY. Given: U(x2)min(3x, ,6x2) P = 4, P-5, 1-20 a) Graph two indifference curves for this utility function. b) Write the function for the budget constraint and graph it c) What are the utility maximizing amounts of x, and x, given the budget constraint? d) Would your answer change if the utility function were U(x1,x2)-min(x,,2%)? Why or why not?
The profit function for two products is Profit = -3x,? + 42x4 - 3x2? + 46x2 + 700, where x, represents units of production of product 1 and xz represents units of production of product 2. Producing one unit of product 1 requires 4 labor-hours and producing one unit of product 2 requires 6 labor-hours. Currently, 24 labor-hours are available. The cost of labor-hours is already factored into the profit function. However, it is possible to schedule overtime at a...
SECTION 4.3 Polynomial Division; The Factor the polynomial function f(x). Then solve the equation f(x) = 0. 39, f(x) =x3 + 4x2 + x-6 40. fx) 5x - 2x 24 41, f(x) =x3-6x2 + 3x+10 42. f(x)-x3 + 2x2-13x + 10 43, f(x) = x3-x2-14x + 24 44.f(x) = x3-3x2 In Ex given. a): Fi b) C in gi - L 二 10x +24ー丁only, this one d) C gi ase 45' f(x) =x4-7x3 + 9x2 + 27x-54 plecs( 46, f(x)...
13. Consider an individual with a utility function U = min{3x,, x} where x1 and x2 are the quantities of goods 1 and 2 consumed, respectively. If the prices of good 1 is $5 and the price of good 2 is $5 and the consumer's income is $60, how much of goods 1 and 2 does she buy? a. x, = 4, x, = 4 b. x, = 6,X, = 3 c. x, = 8, x, = 2 d. x,...
The total profit function P(x) for a company producing x thousand units is given by P(x) = - 3x² + 36x - 81 Find the values of x for which the company makes a profit. (Hint: The company makes a profit when P(x) > 0.] O A. x is between 3 thousand units and 9 thousand units O B. x is less than 3 thousand units or greater than 9 thousand units C. x is less than 9 thousand units...
1. For the function f(x) e1+3x and the point P given by x 5 answer the following questions: For the points Q given by the following values of x, compute the slope of the secant line through the points P and Q accurate to at least 8 decimal places. ii.51 l.501 iv. .5001 v. .50001 a. i. 1 vi. 0 vii. .49 vii. .499 ix. .4999 x. .49999 Use the information in part a to estimate the slope of the...