Graph the appropriate function(s) in each problem, and use the graphing calculator and its features to help find function values, points of intersection, minimum values, and maximum values, etc. 1-2. A business has total cost function C(x)=0.1x² +35x+15,000 and revenue function R(x) = -0.9x² +385x 1. Find the number of units at which the business will break even. 2. Find the maximum revenue. or (to the nearest dollar)
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- Use the accompanying graph to answer the following questions. Assume the company makes 83,000 parts per month of Product A and 39,000 parts per month of Product B. Click the icon to view the provided graph. (a) Which Product has the higher variable cost, and what is this value in units of dollars per part? Product B has the higher variable cost. This value is $.50 /part. (Type an integer or a decimal. Round y (b) Which Product has the higher selling price, and what is this value in units of dollars per part? Product B has the higher selling price. This value is $ 1.69 /part. (Type an integer or a decimal. Round (c) Which Product has the faster breakeven time, and what is this value in units of months? Product B has the faster breakeven time. This value is 22 month(s). (Type a whole number.) (d) At 6 years, which Product makes more profit and what is this value in units of dollars? At 6 years Product A makes more profit. This value is $4,850,000. (Type a whole number.) k my instructor…Calculate the value of total revenue if total cost is $6500 and profits are $800Calculate the value of total revenue if profit is $3000 and total cost is $1800
- C(x) = 0.01x-0.3x + 10x gives the cost, in thousands of dollars, to produce x thousand items. (a) Find a formula for the marginal cost. (b) Find C'(0). Give units. (c) Graph the marginal cost function. Use your graph to find the minimum marginal cost, the production level for which the marginal cost is the smallest. (d) For what value of x does the marginal cost return to C'(0)? (a) Find a formula for the marginal cost. c'(x) =D (b) Find C'(0). Give units. c'(0) = (c) Use the derivative of the marginal cost function to find the minimum marginal cost, the production level for which the marginal cost is the smallest. The minimum marginal cost of additional dollars per item produced occurs when thousand items are produced. d) Recall your answer to part b. For what value of x does the marginal cost return to C'(0)? Marginal cost returns to this value of C (x) when x = items are produced.A small business produces and sells balls. The fixed costs are $20 and each ball costs $2.92 to produce. Each ball sells for $7.92. Write the equations for the total cost, C, and the revenue, R, then use the graphing method to determine how many balls must be sold to break even.ATC, AAC, AVC, MC (/uni 270.00 24000 21000 180.00 150.00 120.00 10:00 60.00 30.00 0:00 02 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 Units of Output (0) Unit Cost Curves Refer to the graph above. The curves are not labeled. To help get this question right, you must first label the curves. An output level of 18 is identified with the dark vertical line. The shaded rectangular area (height times width) is the O average sunk cost. O total sunk cost O total avoidable fed cost. O total avoidable cost. O None of the above