II. Profit and Loss Analysis At a price of PHP p per unit, the marketing department in a company estimates that the weekly cost C and revenue R (in thousands of pesos) will be given by the equations C = 28-2p Cost equation R = 9p-p² Find the prices for which the company has (A) A profit (B) A loss
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- A company estimated that the relationship between the unit price and demand per month for a potential new product is approximated by P = $ 100 – $ 0.1D. The company can produce the product by increasing fixed costs $ 17,500 per month, and the estimated variable costs is $ 40 per unit. What is the optimal demand, D*, and based on this demand, should the company produce new product? Why? a) Work out the complete solution by differential calculus, starting with formula for profit or loss per month b) Solve graphically for an approximate answerA company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p = 77 – 0.12D units. The fixed cost is $800 per month and the variable cost $25 per unit produced. What number of units, D*,should be produced per month and sold to maximize the profit per month related to the product? Round your answer to 2 decimal places.Given that the relationship between the sales price for one of a company’s products and the quantity sold per month is D = 500 – 5p units where D is the demand or quantity sold per month and p is the unit price in dollars. The fixed cost is $1,000 per month, and the variable cost is $20 per unit produced. (a) Determine the optimal number of units that should be produced and sold per month. (b) What is the maximum profit per month related to the product? (c) What is the company’s range of profitable demand? Support your answers graphically.
- A company has determined that the price and the monthly demand of one of its products are related by the equation D = √(400 − p), where p is the price per unit in dollars and D is the monthly demand. The associated fixed costs are $1,125/month, and the variable costs are $100/unit. Use this information to answer, Which of the following values of D represents the breakeven point? (a) 10 units (b) 15 units (c) 20 units (d) 25 units.A company has determine the price and the monthly demand of its products are related by the equation D= √400-p where p is the price per unit in dollar and D is the monthly demand. The associated fixed costs are $1,125 per month and the variable costs are $100/unit. Use this information to answer the following: What is the optimal number of units that should be produced and sold each month? Determine the value of D that represents the break-even point?Q.(i) . Selling Price :Rs. 12 Per UnitVariable Cost : 2/3 of SPFixed Cost :Rs. 40,000You are required to calculate:(a) Sales to earn profit of Rs. 8000.(b) Also show the BEPs in Breakeven chart. Q.(ii). Use the following information and explain that how the reduction in selling pricewould affect the MOS?Particulars Rs.Selling price per unit 40Material per unit 12Labour per unit. 8Variable Overheads per unit 4Total Fixed cost is Rs. 8, 000. Full capacity of the Plant is 5, 000 units.Reduced selling price is Rs. 32 per unit.
- 1. XYZ company’s marketing department recommends to manufacture and market a newe co-friendly and sustainable product. The financial department provides the following cost Php 6,000 is the estimated fixed costs and the estimated variable cost is Php 100 per unit. The revenue function is given with an equation of 150x - 0.005x2. Determine the following: a) the optimal demand and value (Php) b)The demand in unit and amount (Php) that will give highest revenue c) Break even points and range of profitabilityThe total cost of an MBF plant is 35,000 units if it produces 500 products, and a total cost of 60,000 units if it produces 1,000 units of the same product. If each number of products is sold at a price of 100 monetary units, it is recommended: a. Draw a diagram to determine its breaking point. B. If we want to make a profit of 20,000 units by selling 1,500 products, what is the variable cost? P(Profit) = pQ-(F+vQ) TR=pQ Q=F/(p_v) TC=F+vQPlease answer with details on how to do it. A small company manufactures a certain product. Variable costs are $20 per unit and fixed costs are $10,875. The price demand relationship for this product is P = -0.25D + 250, where P is the unit sales price of the product and D is the annual demand. Total cost = fixed cost + Variable cost, TC = CF + CV Revenue = Demand x Price, TR = D x P Profit = Total Revenue – Total Cost, P = TR – TC a) Develop the equations for the total cost and total revenue. Find the breakeven quantity c) How many units must be sold to maximize profit? What is the company’s maximum profit?
- The durax tire company recaps tires. The weekly fixed cost is $2500 and the variable cost per tire is $9. Price is related to demand, according to the following linear equation: V = 200 - 4.75p Develop the nonlinear profit function for the tire company and determine the optimal price, the optimal value, and the maximum profit per week.FG Manufacturers wants to determine the effectiveness of their pricing decisions for their product Lylo. As a consultant, you have been asked to develop cost functions that will assist in arriving at the optimal price that will enable the company to maximize profits. During the year, you were provided with the following demand and costs functions for the product: P = 400 – 6Q; where P is the unit selling price and Q is quantity in thousands of units. TC = 8Q2 + 36Q + 150; where TC is total cost in thousands of dollars. Determine the optimal sales revenue. Calculate the maximum profit. Briefly outline two (2) factors to be considered by managementswhen pricing decisions are being made.A company has determined that the price and the monthly demand of one of its products are related by the equation D = √(400 − p), where p is the price per unit in dollars and D is the monthly demand. The associated fixed costs are $1,125/month, and the variable costs are $100/unit. Use this information to answer What is the optimal number of units that should be produced and sold each month? (a) 10 units (b) 15 units (c) 20 units (d) 25 units. Select the closest answer.
