Exotic Metals, Inc., a leading manufacturer of beryllium, which is used in many electronic products, estimates the following demand schedule for its product:
Price ($/Pound) Quantity (Pounds/Period)
$25 0
18 1,000
16 2,000
14 3,000
12 4,000
10 5,000
8 6,000
6 7,000
4 8,000
2 9,000

Fixed costs of manufacturing beryllium are $14,000 per period. The firm's variable cost schedule is a follows:

a. Find the total revenue and marginal revenue schedules for the firm.
b. Determine the average total cost and marginal cost schedules for the firm.
c. What are Exotic Metals' profit-maximizing price and output levels for the production and sale of beryllium?
d. What is Exotic's profit (or loss) at the solution determined in Part (c)?
e. Suppose that the federal government announces it will sell beryllium, from its extensive wartime stockpile, to anyone who wants it at $6 per pound. How does this affect the solution determined in Part (c)? What is Exotic Metals' profit (or loss) under these conditions?

I.
need to show how this was solved
Suppose that the firm's cost function is given in the following schedule (where Q is the level of output):
Output Total
Q (units) Cost
0 7
1 25
2

Use the following data of a firm's totalcostschedules to calculate its average variable cost, average fixed cost, averagetotalcost, andmarginalcostschedules.
Output TotalCostTotal Variable CostTotal Fixed Cost
1 $2075.00 $ 75.00 $2000.00
2 2140.00

The cost function for a business is shown in the table below (where Q is the level of output):
Q (units) Cost
0 8
1 24
2 38
3 44
4 51
5 52
6 59
7 65
8 79
9 95
10 125
Calculate the (a) marginalcostand (b) the averagetotalcostschedules.

2. Given the following totalcost schedule of a firm, (a) derive the total fixed costandtotal variable costschedules of the firm, and from them derive the average fixed cost, average variable cost, averagetotalcost, andmarginalcostschedules of the firm.
Q 0 1 2 3 4 5
TC 30 50 60 81 118 180

Problems
1- Given the following total-revenue function:
TR=9Q-Q²
(a) Derive the total-, average-, andmarginal-revenue schedules from Q = 0 to Q = 6 by 1' s.
(b) On the same set of axes, plot the total-,average-,andmarginal-revenue schedules of part (a)
2- Given the follow total-cost schedule:
Q 0 1 2 3 4
TC

Given the following total-cost schedule:
Q 0 1 2 3 4
TC 1 12 14 15 20
Derive the average- andmarginal-costschedules.
Please explain answers and show work.

Problem 1
Given the following total-revenue function:
TR=9Q-Q(2)
A)Derive the total, average, andmarginal revenue schedules from Q=0 to Q=6 by 1's
B)On the same set of axes, plot the total , average, andmarginal-revenue schedules of part (a)
c) Then draw on the same set of axes the marginal-revenue curve derived in p

1. Given the following totalcost function of C (q) = 400Q(squared) - 20Q + 7
Calculate Averagecost, Marginalcost, Average Variable Costand the output level at which Average Variable Cost is at a minimum.