Mathematics
Molly bought a pair of gloves and a skirt. The gloves cost £4. She sold teh gloves and the skirt for a total of £48. She made 100% profit on the cost of the gloves. 20% profit on the total cost. Work out the percentage profit on the cost of the skirt
Posted 3 weeks agoAnswers (2)
A) Sale value = 48 Profit on the total cost = 20% = 0.20 => Total cost + 0.20 total cost = Sale value => 1.20 total cost = 48 => total cost = 48 / 1.20 => total cost = 40 B) Cost of the gloves = 4 => Cost of the skirt = total cost - cost of the gloves => Cost of the skirt = 40 - 4 = 36 C) Price of the skirt = total value - price of the gloves Total value = 48 Price of the gloves = cost of the gloves + margin margin of the gloves = 100% on the cost = cost Price of the gloves = cost of the gloves * 2 Price of the gloves = 4 * 2 = 8 => Price of the skirt = 48 - 8 = 40 D) Profit on the skirt = price of the skirt / cost of the skirt = 40 / 36 = 1.1111 Profit % = 11,11 %
Final answer: The profit-maximizing quantity for Doggies Paradise Inc. is determined by comparing marginal revenue and marginal cost for each output level and is found to be at five units, which results in a profit of $40. Explanation: Profit Maximization Calculation To calculate the profit-maximizing quantity for Doggies Paradise Inc., we construct a table showing total revenue, marginal revenue, total cost, and marginal cost for each output level from one to five units. Given the price of $72 per dog coat, the fixed costs of $100, and the various total variable costs for each output level, we can determine the profit-maximizing quantity by comparing marginal revenue and marginal cost. Calculate total revenue by multiplying the number of units by the price ($72). Calculate total cost by adding fixed costs ($100) to the total variable costs for each output level. Determine marginal revenue and marginal cost for each additional unit produced. Identify the output level where marginal revenue equals marginal cost; this is the profit-maximizing quantity. Subtract total cost from total revenue to find profits at this output level. If Doggies Paradise Inc. produces and sells five units, they will achieve a profit of $40, as total revenue will be higher than total costs, indicating that the fifth unit is adding to the profits. Learn more about Profit Maximization here: brainly.com/question/33809682 #SPJ3