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Q: Derive the MU function from the following TU function: ?? = 200? − 25?2 + ?3
A: (1.) Derive the MU function from the following TU function: TU = 200x − 25x2 + x3
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- Derive the MU function from the following TU function: ?? = 200? − 25?2 + ?3Compute the first and second derivatives of the following functions of x. In each case, determine whether the function has any local extremes (maxima or minima) on the domain of nonnegative real numbers – i.e. for x E [0, 0). a. f(x) = 4 + 3x? b. f(x) = x (4x – 3) (9 - 5x) с. f(x) — x2 d. f(x) = In(x) -Find the partial derivative of the following with respect to l : y = Ak0.4,0.6 ○ 0.6AK 0.41-0.4 0.6A수 0 0.6A ○ 0.6A(수)-0.4 k
- 6). Compute the directional derivative of function f(x,y) = xy³ + 2.x²y at the point (2, 1) in the direction (,, ).Use the MU function derive from the TU function: TU = 200Q - 25Q^2 + Q^3 to draw a table up to the level of Q where MU is negative and graph the figures1 1 a) Let A = 1 -1 -1 1 (i) Compute the value of det (A). (ii) For what values of x will the matrix be singular? b) Write down the quadratic form that corresponds to the following matrix. 2 4 2 -1 -3 .4 -3 1
- The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x) = 56x – 0.020x? 0sxs 2800 (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (B) Use the four-step process to find R'(x). (C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and interpret the results. (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (Round to one decimal place as needed.) (B) R'(X) = (C) R(1000) = R'(1000) = Interpret these results. Choose the correct answer below. O A. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is decreasing at a rate of R'(1000) dollars per seat. O B. This means that at a production level of 1,000 car seats, the revenue is R'(1000) dollars and is increasing at a rate of R(1000) dollars per seat. O c. This means that at a…If Qd= 20-0.5P, find the slope of the function ?Please find the effect of Y and r if there is a decrease in the tax rate. Use the following equations and evaluate the total derivative.