Revenue, cost, and profit. The price–demand equation and the cost function for the production of table saws are given, respectively, by

x=6,000−30pandC(x)=72,000+60xx=6,000−30pandC(x)=72,000+60x

where x is the number of saws that can be sold at a price of $p per saw and C(x) is the total cost (in dollars) of producing x saws.

• (F) Graph the cost function and the revenue function on the same coordinate system for 0≤x≤6,000. Find the break-even points, and indicate regions of loss and profit.

• (G) Find the profit function in terms of x.

• (H) Find the marginal profit.

• (I) Find P'(1,500) and P′(3,000) and interpret these quantities.

• Please write the answer clear Thank you!!

A delivery car had a first cost of $38,000, an annual operating cost of $17,000, and an estimated $5000 salvage value after its 6-year life. Due to an economic slowdown, the car will be retained for only 2 years and must be sold now as a used vehicle. At an interest rate of 9% per year, what must the market value of the used vehicle be in order for its AW value to be the same as the AW if it had been kept for its full life cycle?

Discuss the impact of technological breakthrough on the prevention and appraisal cost and failure cost functions.

The table shows the cost data for one of several identical firms in a constant cost perfectly competitive industry for product X. Fill in the table given the fixed cost is $50.

1. In the short run, calculate the output and profit or loss for this typical firm for each of the following prices.

a). P=$55 b). P=$65 c). P=$75 d). P=$85 e). P=$95

2. Consider that there are 25 identical firms currently in this perfectly competitive market. The current market demand is:

a). On a properly labeled graph, illustrate the market demand and industry supply, and determine the short run price, quantity and profit for the typical firm.

b). In the long run, explain how the number of firms will change and waht will be the long run equilibrium price and output level (Q) in the market?

c). Suppose all 25 firms were taken over and the market was monopolized by one owner. Explain ( price quantity, profit) how your answer to (a) above would now change.

A firm incurred a total fixed cost of $400,000 and total variable cost of $600,000 to produce 50,000 units of output.

What are the average fixed cost (AFC), average variable cost (AVC), and average total cost (ATC)?

Use the following information to calculate the ending inventory cost on December 31 and the cost of goods sold for December under each of three methods: (a) FIFO, (b) LIFO, and (c) Weighted Average.

Assume the periodic inventory system is used. (Show your work.)

Dec. 1 Beginning inventory 1,000 units @ $7

Dec. 5 Purchased 3,000 units @ $7.10

Dec. 18 Purchased 4,000 units @ $7.15

Dec. 24 Purchased 2,000 units @ $7.20

Dec. 31 Ending inventory 2,500 units

Cost and Customer Satisfaction

A researcher is interested whether there is a linear correlation between cost (in dollars) of internet service per month and customer satisfaction on a scale of 1 - 10 (with a 1 being extremely dissatisfied and 10 extremely satisfied). The researcher only includes internet service with similar download speed. The sample he collected is below.

Find the best predicted value for the level of Customer Satisfaction given that the Cost is 13. Use a significance level of 0.05.
Round your answer to 1 decimal place, if needed.

Machine X has a first cost of $70,000 and an operating cost of $21,000 in year 1, increasing by $500 per year through year 5 with a salvage value of $13,000. Machine Y has a first cost of $62,000 and an operating cost of $21,000 in year 1, increasing by 3% per year through year 10 with a salvage value of $2000. If the interest rate is i =18% per year, evaluate which machine must you choose on the basis of:( with the steps)

(a) the present worth analysis,

(b) the conventional B/C analysis