Consider the cost function C(x) = 9500 + 4000x for producing x widescreen TV’s
Find the change in cost when production changes from 200 to 300 TV’s.
Find the average rate of change of cost for this change in production levels.
Consider the cost function C(x) = 9500 + 4000x for producing x widescreen TV’s Find the...
& The cost of producing & units is C(x) = 200+755 – 300 lux (a) Find the average cost function C (6) Find the minimum average cost analytically. Show all steps, explain what you're doing, and prove (using calculus) it's a minimum a answer correct to 2 decimal places)
Consider the following function. f(x) = x2 + 5x − 6 Find the average rate of change of the function over the interval [0, 1]. Change in y/change in x = Compare this rate with the instantaneous rates of change at the endpoints of the interval. f'(0) = f '(1) = Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 455 + 6.75x2/3 dC/dx = dollars per unit
If the total cost function for producing x lamps is C(x) = 3920 + 36x + 0.8x? dollars, producing how many units, x, will result in a minimum average cost per unit? X units Find the minimum average cost per unit. $
If the total cost function for producing x lamps is C(x) = 90 + 34x + 0.1x2 dollars, producing how many units, x, will result in a minimum average cost per unit? units Find the minimum average cost per unit. $
2.If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost function C(x) given below. C(x) = 24,000 + 290x + 6x3/2 (a) Find the total cost at a production level of 1000 units. (Round your answer to the nearest cent.) $ (b) Find the average cost at a production level of 1000 units. (Round your answer to the nearest cent.) $ per unit (c) Find...
15) The cost of producing x units of a commodity per week is C(x) = 0.2x3 - 18x2 + 32x +200 Find all values of x where C"(x) - 0. How are these levels of production related to the graph of the marginal cost? A) X= 3. It corresponds to a maximum on the graph of C'(x). B) x - 30. It corresponds to a point of inflection on the graph of C'(x). C)x= 30. It corresponds to a minimum...
Marginal Average Cost for Producing Thermometers The management of ThermoMaster Company, whose Mexican subsidiary manufactures an indoor-outdoor thermometer, has estimated that the total weekly cost (in dollars) for producing x thermometers is represented by the following function. Find the following functions (in dollars) and interpret your results. C(x) = 3,500 + 6x (a) Find the average cost function C. C(x) = (b) Find the marginal average cost function C '. C '(x) = interpret your results: o Since the marginal...
The cost function for production of a commodity is C(x) = 335 + 24% - 0.05x2 + 0.0006x3. (a) Find C'(100) Interpret c'(100) This is the rate at which costs are increasing with respect to the production level when x = 100. This is the cost of making 100 items. This is the amount of time, in minutes, it takes to produce 100 items. This is the rate at which the production level is decreasing with respect to the cost...
The Marginal Cost for producing x Tshirts is modeled by the
function
. Find the cost function if the fixed cost is 350$.
. A firm producing two goods (X and Y) has the following cost (C) function: Cost: C =5X 2 +2XY+3Y2 +800 Production quota: X+Y=39 What are the values of X and Y that minimizes cost subject to the firm’s production quota?