9) The total accumulated costs C(t) and revenues R(7) (in thousands of doll satisfy C'(t) = 3 and R'(t) = 20e-0.1t where t is the number of years that the mine has been in operation. Find the useful life of the mine, to the nearest year. What is the total profit accumulated during the useful life of the mine?

9) The total accumulated costs C(t) and revenues R(7) (in thousands of doll satisfy C'(t) = 3 and R'(t) = 20e-0.1t where t is the number of years that the mine has been in operation. Find the useful life of the mine, to the nearest year. What is the total profit accumulated during the useful life of the mine?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter17: Long-term Investment Analysis

Section: Chapter Questions

Problem 3.4CE

See similar textbooks

Similar questions

Which costs are measured on per-unit basis: fixed costs, average cost, avenge variable cost, variable costs, and marginal cost?
You're company manufactures on large scale unit and it has been shown that marginal or variable cost are given by this function (92-2x)sh where xis the number of units of output per annum the fixed costs are 800000 annually, it has also been shown that the marginal revenue which is the gradient ot the total revenue is given by (112-2x) ... required determine by integration the total cost, the total revenue , the break even point of your company and the number of units of output that would maximise total revenue
A firm has the capacity to produce 650,000 units of product per year. At present, it is operating at 64% of capacity. The firm’s income per unit is $1.00, annual fixed costs are $192,000, and variable costs are $0.376 per unit of product. Solve, a. What is the firm’s current annual profit or loss? b. At what volume of product does the firm break even? c. What would be the profit or loss at 80% of capacity?
A firm has the capacity to produce 1,000,000 units of a product each year. At present, it is operating at 70% of capacity. The firm’s annual revenue is $700,000. Annual fixed costs are $300,000, and the variable costs are $0.50 per unit. a. What is the firm’s annual profit or loss? b. At what volume of sales does the firm break even? c. What will be the profit or loss if the plant runs at 90% of capacity assuming a constant income per unit and constant variable cost per unit? d. At what percent of capacity would the firm have to run to earn a profit of $90,000?
1. Direct laborrate: $15.00perhour Production material: $375 per 100 items Factory overhead: 125% of direct labor Packing costs: 75%ofdirectlabor Desiredproﬁt: 20%oftotalmanufacturing cost use the above information to answer how many units must be sold to achieve a proﬁt of $25,000? [Note that the units sold must account for total production costs (direct and overhead) plus desired proﬁt. 2. A small textile plant was constructed in 2004. The major equipment, costs, and factors are shown below. Estimate the cost to build a new plant in 2014 if the index for this type of equipment has increased at an average rate of 12% per year for the past 10 years. Show work and Select the closest answer. a) $4,618,000 b) $10,623,000 c) $14,342,000 d) $ 14,891,000
Carlota Music Company estimates that the marginal cost of manufacturing its Professional Series guitars is C ′ (x) = 0.02x + 100 dollars/month when the level of production is x guitars/month. The fixed costs incurred by Carlota are $4000/month. Find the total monthly cost incurred by Carlota in manufacturing x guitars/month.
Give an example of the Equivalent Annual Operating Cost?
34- 34 - : If firm X produces 20 units of product with a total cost of 100, what is its average cost? a) 2nd B) 120 NS) 80 D) 5 TO) one
Problem 6Cannes Croissants (not a real company) wishes to determine the optimum production quantity for its topselling product, almond croissants. The annual demandfor almond croissants is 12,000 units. The setup costs fora production run of the croissants is US$15. The holdingcost per unit per year is US$0.50. Production is mostefficient when 80 croissants are produced per day. Thecompany operates 300 days during a year.a What is the economic production quantity (EPQ)?b How many production runs will there by per year?c What is the maximum inventory level?d What is the total annual cost (in US dollars)?e What is the length of a production run in days?
Q5) A firm is planning to manufacture a new product. The sales department estimates that the quantity that can be sold depends on the selling price. As the selling price is increased, the quantity that can be sold decreases. Numerically they estimate: P = $35.00 - 0.02Q where P =selling price per unit Q = quantity sold per year On the other hand, the management estimates that the average cost of manufacturing and selling the product will decrease as the quantity sold increases. They estimate C = $4.00Q + $8000 where C = cost to produce and sell Q per year The firm's management wishes to produce and sell the product at the rate that will maximize profit, that is, where income minus cost will be a maximum. What quantity should the decision makers plan to produce and sell each year?
Your firm has discovered a cheap and efficient technology of turning used plastic bottles and bags into various products. You limit your attention to the following two production options: you can produce plastic utensils or helmets. In the "utensils" case your estimat ann revenue $25,000, while production will cost you $8,000. However, in your "helmets" option, you expect to sell 2000 helmets every year at $10 each and the average total cost of every helmet will be $3. What is your accounting ?profit if you decided to produce helmets
Answer all parts please Go Green is a business selling worm farm start-up kit for $12 each. This year, Go Green's fixed cost totals $110,000. The variable cost per kit is $7. a. What is the break-even point in number of kits? b. How many kits does Go Green needs to sell to earn a profit of $70,000? c. If the total fixed cost increases to $160,000 next year: i. What will Go Green's break-even point be in number of kits? ii. What profit (or loss) will Go Green have if it sells 30,000 kits? iii. How many kits will Go Green have to sell to earn a profit of $70,000?