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- The total cost (in dollars) of producing x food processors is C(x) = 1600 + 40x – 0.7x2. (A) Find the exact cost of producing the 21st food processor. (B) Use the marginal cost to approximate the cost of producing the 21st food processor. ..... (A) The exact cost of producing the 21st food processor is $ 11.3. (B) Using the marginal cost, the approximate cost of producing the 21st food processor is $Use the equations for the total cost C and total revenue R to find the number x of units a company must sell to break even. (Round to the nearest whole unit.) C = 8950x + 220,000, R = 9857xThe total cost (in hundreds of dollars) of producing x calculators per day is given by the equation. 20- 15- 10- C(x) = 6 + /2x + 32 Osx< 50 Perform the following calculations and interpret the results. 10 20 30 40 50 Production C'(x) =U %D Cost (hundred dollars)
- The function C(x)=−24x+1936 represents the cost to produce x items. What is the least number of items that can be produced so that the average cost is no more than $20?Assume that it costs a company approximately C(x) = 400,000 + 140x + 0.003x? dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. 400,000 – 0.000009 Use it to estimate how fast the cost is increasing when x = 10,000. 2$ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ Thus, there is a difference of $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) = C(10,000) = $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. -Select--- at a production level of 10,000 smartphones. The marginal cost from (a) is --Select--- than the average cost from (b). This means that the average cost isThe profit of a company, in dollars, is the difference between the company's revenue and cost. The cost, C(x), and revenue, R(x), are functions for a particular company. The x represents the number of items produced and sold to distributors. C(x) = 2500 + 60x R(x) = 800x - x? a) Determine the maximum profit of the company. The maximum profit of the company is b) Determine the number of items that must be produced and sold to obtain the maximum profit. The number of items that must be produced and sold to obtain the maximum profit is
- A company produces and sells a consumer product and is able to control the demand by varying the selling price. The approximate relationship between price and demand is 2700 5000 p = 38 + (for D>1) D² The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $ 40 per unit. What is the number of units and total amount that should be produced and sold each month to maximize profit?The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillows is approximated by P(x) = -x° + 12x + 144x – 400, x25. Find the number of hundred thousands of pillows that must be sold to maximize profit. Find the maximum profit. The maximum profit is $ The maximum profit will occur when pillows are sold.A musical Disc is being produced by a music recording studio, and the company estimates that it will cost $100,000 to record the Disc and $6.75 per unit to duplicate and distribute the Disc. The Disc wholesale cost is $19.95. (a) Find the cost and revenue functions (b) Find the profit function (c) Find the number of Disc’s the company must produce and sell in order to break even (d) Draw a graph with the cost and revenue functions on the same axes, indicating the breakeven point.
- K Drilling of an oil well has a fixed cost of $40,000 and a marginal cost of M'(x) = 5000+56x dollars per foot, where x is the depth in feet. Find the expression for M(x), the total cost of drilling x feet. [Note M(0) = 40,000] M(x)=Find average cost if Total cost is $1000 and the output is 60 unitsIf the number of miles for a delivery is 5 & the number of minutes is 30, what is the estimated overhead cost associated with that delivery rounded to two decimals?
