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Q: The function Q = L0.3 + K0.7 is an example of _____ returns to scale of production.
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- Since MC(y) is the derivative of c(y), c(y) must be the integral of MC(y) . Select one: True False2.1 Write a well-commented function program for the function x²e¬ª*, using entry-wise operations (such as .* and .*). To get e" use exp(x). Plot the function on [-5,5] using enough points to make the graph smooth. Turn in the program and the graph.y = (3 - x)6 + 7 apply the function in economic optimization concept
- Find f'(x) for the given function. 9x f(x) = -X_ X- 1 f'(x) =Can you help me find C(x) ?Statement You can select the object to see the slope. Your score depends on the order in which you plot the points. If you plot one point incorrectly and the others correctly, you will receive partial credit for that object. You can adjust the position of the object on the graph without changing its shape by selecting it in between the marked points and moving it around the graph. Connected Points 000 0 Curves 00 0
- Which ONE of the following descriptions is CORRECT according to this Normal Form?The sales function for a product is given by S(x)=119+40.5x2−0.5x3 where x represents thousands of dollars spent on advertising, 0≤x≤54 and S is in thousands of dollars.x Find the point of diminishing returns. Enter the amount spent on advertising as well as the sales in dollars. Amount Spent on Advertising:$ ____ total Sales: $___Total revenue is in dollars and x is the number of units. Suppose that the total revenue function for a commodity is R(x) = 42x − 0.05x2. (a) Find R(50). $ Tell what it represents. 50 units produce this amount of revenue. The revenue decreases by about this amount when the number of units is increased from 50 to 51. The actual revenue of the 50th unit is this amount. 51 units produce this amount of revenue. The revenue increases by about this amount when the number of units is increased from 50 to 51. (b) Find the marginal revenue function. MR = (c) Find the marginal revenue (in dollars per unit) at x = 50. $ per unit Tell what it predicts about the sale of the next unit and the next 2 units. The sale of the next unit will the revenue by about $ . The sale of the next 2 units will the revenue by about $ . (d) Find R(51) − R(50). $ Explain what this value represents. actual revenue from the 50th unit actual revenue from 51 units…
- A company has determined that its profit for a product can be described by a linear function. The profit from the production and sale of 150 units is $455, and the profit from 250 units is $895. What is the average rate of change of the profit for this product when between 150 and 250 units are sold? Write the equation of the profit function for this product How many units give break-even for this product?A company estimates that it will sell N(x) units of a product after spending $x thousand on advertising, as given by N(x) = -0.25x +22x³-432x² + 75,000, where 18 ≤x≤ 48. When is the rate of change of sales increasing and when is it decreasing? What is the point of diminishing returns and the maximum rate of change of sales? Graph N and N' on the same coordinate system. The rate of change of sales is increasing on (Type your answer in interval notation.) GEZETThe answer of function!