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- A manufacturer produces gizmos at a cost of P5 each. The manufacturer computes that if each gizmo sells for x pesos, (15 – x) gizmos will be sold. What is the manufacturer's profit function a(x)? What price x should the manufacturer charge to maximize profit? (Hint: If the profit function is concave, the maximum point is the point where the slope is zero.)How much would be needed today to provide an annual amount of $50000 each year for 20 years, at 9% interest each year? a. $546,000 O b. $456,427 O c. $645,000 O d. $456,000Keep two decimals for all answers if needed. Assume a firm’s fixed cost is $1003, its product has a variable cost of $42, and a selling price of $87. What is the break-even point? How many units must be sold to make a total profit of $500?
- The price of a product is expressed as ?, PHP = 10 – 28? where ? is the demand. Which of the following correctlyexpresses the total revenue? 10 − 28?2 28? = 10 10? − 28? 10? − 28?2using the price p=20 - .05x, use the Revenue function to find the marginal Revenue function R'(x), Find a. R'(100)= b. R'(175)= c. R'(250)= The marginal Revenue R'(x) approximates how the revenue will change on the sale of the next item. a. Given R(100) = 642 and R'(100)= 18 then R(101) ≈ b. Given R(400) = 16,250 and R'(400)= -10 then R(401) ≈ c. Given R(1000) = 3500 and R'(1000) = 3 then R(1001) ≈00 Let the demand function for a product be given by the function D(q) = – 1.55q+ 220, where q is the quantity of items in demand and D(q) is the price per item, in dollars, that can be charged when q units are sold. Suppose fixed costs of production for this item are $3, 000 and variable costs are $10 per item produced. If 34 items are produced and sold, find the following: - A) The total revenue from selling 34 items (to the nearest penny). Answer: $ B) The total costs to produce 34 items (to the nearest penny). Answer: $ mth 141.docx Type here to search 直。 a. dp f6 24 & 2. 5. tab slock alt
- Instructions: Enter your answers as a whole number. b. Assume that MC is $13 in both markets and MC = ATC at all output levels. What price will the firm charge in each market? Group 1: units will be produced at a price of $ Group 2: units will be produced at a price of $ c. Based solely on these two prices, which market has the higher price elasticity of demand? The first market has the higher price elasticity of demand. The second market has the higher price elasticity of demand. d. What will be this monopolist's total economic profit? %24In this problem, p is the price per unit in dollars and q is the number of units. Suppose the weekly demand for a product is given by p + 2g = 840 and the weekly supply before taxation is given by p = 0.02g2 + 0.55g + 7.4. Find the tax per item that produces maximum tax revenue. (Round your answer to the nearest cent.) $ 483.17 Find the tax revenue. (Round your answer to the nearest whole dollar.) $ 40,089If a product sells P^(7500) and costs P^(4300) to manufacture, its gross margin is P^(3200). Find the margin percent.
- Suppose the marginal cost and marginal revenue (in ¢000) for a product produced by a company is estimated to be MC=q+35 MR=560+22q-q^2 Where q is the quantity produced and the firm’s break-even is 5 units per week You are Required to I. determine the total cost and the total revenue function in terms of q. II. estimate the output at which profit is maximize III. calculate the maximum profitA business has selling price of P 129.50 with an average variable cost of P 54.40. Fixed costs are P 1,400,000. Calculate the following: What is the breakeven sales revenue? Use 2 decimal places in computing CM Ratio (Answer the figures only; no decimal places)Q2. Suppose that Nafitol Company has a fixed cost of ETB 35,000 and VC of ETB 1.75 per unit for its products. Let us further consider that selling price is birr 2.7 per unit. Required: A. Write the revenue and the cost equation of the company B. At what level of production output is the company Break-even? C. What is the amount of the revenue when the company produces 300,000 units? D. If the company plans to earn a profit of 7000, what amount of quantity has to be produced?