Keep two decimals for all answers if needed. Assume a firm’s fixed cost is $1003, its product has a variable cost of $42, a
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Keep 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?
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- Imagine that you could increase the price for a product that has a profit margin of 8% on its price. If you could increase the price by 1% AND simultaneously keep the sales volume (in unit terms) at the same level as before the price increase, calculate the impact of this price increase on the profit margin. (For this question, assume there are no fixed costs. You just need to calculate the PERCENTAGE CHANGE in profit margin)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.)PROBLEM SOLVING: (show step by step solution) Break-even and target profits. Analysis of the operations of FAST Company shows the fixed costs to be P200,000 and the variable costs to be P8 per unit. Selling price is P16 per unit. Derive the break-even point expressed in units. How many units must the firm sell to earn a profit of P280,000? What would profits be if revenue from sales were P2,000,000?
- Suppose Morrison Corp.’s breakeven point is revenues of $1,100,000. Fixed costs are $660,000. Q1. Compute the contribution margin percentage. Q2. Compute the selling price if variable costs are $16 per unit. Q3. Suppose 75,000 units are sold. Compute the margin of safety in units and dollars. Q4. What does this tell you about the risk of Morrison making a loss? What are the most likely reasons for this risk to increase?Many times the selling price of a product p, is related to demand D, according to the relationship p=a - bD. However, a company has found that the price of their product can be related to demand (in units per year) according to the following equation: p=108.5 – 2.08D⁰.75. In addition, there is a fixed cost of P50,000 per year and the variable cost tomanufacture the product is P68 per unit. What is the level of demand which maximizes sales? What is the maximum sales? What level of demand maximizes profit? What is the maximum profit? What are the breakeven quantities of this product if p=678.39-1.08D?4. What if the average price per unit increased to $25.50? Recalculate the following: a Contribution margin per unit. Round your answer to the nearest cent. b. Contribution margin ratio. Enter your answer as a decimal value (not a percentage), rounded to four decimal places. C. Sales revenue needed to break even. In your computations, use your rounded answer from part (4-b) above for the contribution margin ratio, and round your final answer to the nearest dollar. d. Sales revenue needed to achieve a target profit of $240,000. In your computations, use your rounded answer from part (4-b) above for the contribution margin ratio, and round your final answer to the nearest dollar.
- a.Explain why contribution margin per unit becomes profit per unit above the break-even point b. If the contribution margin per unit is $7 and the break-even point is 10,000 units, how much profit will a firm make if 15,000 units are sold? c.What is the variable cost ratio? The contribution margin ratio? How are the two ratios related?A firm uses simple linear regression to forecast the costs for its main product line. If fixed costs are equal to $235,000 and variable costs are $10 per unit, how many units does it need to sell at $15 per unit to make a $300,000 profit?Suppose that the demand for a product is given by Q = 25-0.25P. If the product's price is $128 per unit, how many units will consumers be willing to buy? 0 25
- P Company has provided the following data: Sales Price per unit: $50. Variable Cost per unit: $30; Fixed Cost: $135,000 Expected Sales: 20,000 units. a. What is the breakeven point in sales dollars? b. What is the break-even point in units? c. Calculate the expected profit.Take into account the possibility of raising the cost of a good with an 8% profit margin. Calculate the effect of this price increase on the profit margin if you could raise the price by 1% while keeping the sales volume (in unit terms) at the same level as before the price increase. (Assume there are no fixed costs while answering this question. Only the percentage change in profit margin has to be calculated.)compute for the following items: g. If breakeven sales in units will increase by 10,000 units, how much will be the increase/decrease in profits? h. If breakeven sales in units will decrease by 4,000 units, how much will be the increase/decrease in profits? i. If the firm wants to increase its current profits by P 60,000. How much sales revenue does it have to make?