Suppose that firm that makes lithium batteries is a price taker. The firm's marginal cost if given by: MC= 2 +14q. The price it can sell batteries at is $660 per unit. Calculate the profit-maximizing quantity of batteries for the firm. (Round to the nearest 2 decimal places if necessary.)
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Lesson 9 Question 1
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- A company produces very unusual CD's for which the variable cost is $ 15 per CD and the fixed costs are $ 50000. They will sell the CD's for $ 79 each. Let a be the number of CD's produced. Write the total cost C as a function of the number of CD's produced. C =$ Write the total revenue R as a function of the number of CD's produced. R=$ Write the total profit P as a function of the number of CD's produced. P=$ Find the number of CD's which must be produced to break even. The number of CD's which must be produced to break even is Question Help: Video Submit QuestionSuppose there are 5 firms in this industry, each of which has the cost curves previously shown.What would be the profit earned by the firm if his total revenue is $490 and the total costs are $500
- Tim Marlow, the owner of The Clock Works, wanted to know how many clocks he must sell in order to cover his fixed cost at a given price. Tim knew that he had a fixed cost of $20,000 for equipment, taxes, and a bank loan. He also had a unit variable cost of $20 per clock for labor, materials, and promotional costs. If the price Tim charges for each of his clocks is $40, what is his break-even point quantity?The table gives some of the costs of the Delicious Pie Company. The marginal cost per pie of increasing the output of pies from 100 to 200 is Total variable cost (dollars) Output (pies) 0 100 200 300 400 $8.00 $600 $6.00 $5.00 0 400 1,000 1,800 2,800 Total cost (dollars) 300 700 1300 2100 3100 ?Billy’s Bean Bag Emporium produced 300 bean bag chairs but sold only 275 of the units it produced. The average cost of production for each unit of output produced was $100. The price for each of the 275 units sold was $95. What is the Total profit for Billy’s Bean Bag Emporium? Include in your answer your calculation
- A bookstore sells 90 textbooks at a price of $70 a book. The average total cost is $50 per textbook. How much profit in dollars does the bookstore make?10 ATC ATC2 ATC3 ATC, 2 2 4 6 8 10 Quantity (thousands of copies per day) A copy shop is choosing between four different operational sizes (ie, plant size). The average total cost curve for each option is shown in the graph. If the market demand for copies is 12,000 copies per day, how many copy shops would you expect to see in this market? The answer depends on the price of a copy, which is unknown. O 1 (because the copy shop will become a monopoly with a large quantity demanded) O (because the copy shop can't produce 12,000 copies efficiently and will shutdown) 3 (with each shop supplying 4000 copies per day) 8, 6 Average cost (cents per copy)Suppose the firm achieves total revenue of $1,000 by selling 150 units while facing total costs of $900. If the firm produces and sells 151 units, its total revenue is $1,005, and its total costs are $950. Should the firm produce and sell the extra unit? Group of answer choices yes, since marginal profit is positive yes, since profits are positive no, since marginal profit is negative no, since marginal profit is positive You have recently learned that the company where you work is being sold for $1,000,000. The company's income statement indicates next year's profits of $30,000, which have yet to be paid out as dividends. Assuming the company will remain a "going concern" indefinitely and the interest rate will remain constant at 7%, at what (constant) rate does the owner believe that profits will grow? (Hint: the price the owner was willing to pay is the present value of the firm's future cash flows) Group of answer choices 6% 5% 4% 4.5%
- Suppose that a latte can only be produced by using exactly 1 ounce of espresso (E) and 3 ounces of milk (M). What is the firm's cost function if the price of espresso is 0.50 per ounce and the price of milk is 0.10 per ounce? a. C = 4q b. C = 0.8q c. C = 0.4q d. C = 160q e. C = 80qPrice and cost (dollars) 70 60 50 40 30 20 10 0 MC₁ 50 Quantity MC₂ 100 Demand 150 The demand for dishwashers facing the AllClean Co. is given in the figure above. The firm manufactures dishwashers in two plants. MC₁ and MC2 are the marginal cost curves for those two plants. How should the firm allocate total output between the two plants in order to maximize profit?A startup software company has indicated its cost, c(x), and revenue, f(x), as given below, such that x is the number of lines of programing code (units in 1000 lines). c(x) = 80000 - 2(x-200)2 f(x) = (x-10)3 + (x+10)2 Find the marginal cost analytically, and draw its graph Find the marginal revenue analytically, and draw its graph Solve for the x point where marginal cost is equal to marginal revenue analytically. Comment why is this point significant analytically. Write the profit function and draw its graph Is the profit function concave up or concave down?