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- 1. It costs $25,000 to build 30 refrigerators. It costs $30,000 to build 40 refrigerators. Assuming that the cost function is linear, find the cost function C(x) where x is the number of refrigerators built. If each refrigerator sells for $1500, find the revenue function, profit function, and break-even point.For a unit demand function p=24-8x where x is the number of units and p is the price in tk,finds tge sales function. If the average cost per unit is Tk,8 find a.The profit function, b.The number of units that maximize that profit function.The cost function for flavored coffee at an upscale coffeehouse is given in dollars by C(x) = 3x + 160, where x is in pounds. The coffee sells for $7 per pound.(a) Find the break-even quantity.(b) What will the revenue be at that point?
- Find total revenue if the price function is P=70Q-500A musical Disc is being produced by a music recording studio, and the company estimates that it will cost $100,000 to record the Disc and $6.75 per unit to duplicate and distribute the Disc. The Disc wholesale cost is $19.95. (a) Find the cost and revenue functions (b) Find the profit function (c) Find the number of Disc’s the company must produce and sell in order to break even (d) Draw a graph with the cost and revenue functions on the same axes, indicating the breakeven point.A farm produces rice, which is sold in 50 kilogram bags. Let Q denote the number of bagsproduced per week during harvest time. Costs C are denoted in units of dollars. The totalweekly cost function for producing the product is C = 4Q + 100. The total weekly income function for this product is I = 50Q – 2Q2. What is the profit function P as a function of Q and sketch it using P values 0, 5, 10,15, 20 and 25.
- The Hickory Cabinet and Furniture Company makes chairs. The fixed cost per month of making chairs is $7,500, and the variable cost per chair is $40. Price is related to demand, according to the following linear equation: v = 400 - 1.2p Develop the nonlinear profit function for this company and determine the price that will maximize profit, the optimal volume, and the maximum profit per month.the mahogany cabinet and furniture company makes chairs. the fixed coat per month of making chairs is $7500 and the variable cost per chair is $40. price is related to demand, according to the following linear equation: v = 400 - 1.2p develop the nonlinear profit function for this company and determine the price that will maximize profit, the optimal volume, and the maximum profit per monthThe Rainwater Brewery produces beer. The annual fixed cost is $150,000, and the variable cost per barrel is $16. Price is related to demand, according to the following linear equation: v = 75,000 - 1,153.8p Develop the nonlinear profit function for the brewery and determine the price that will maximize profit, the optimal volume, and the maximum profit per year.
- On a per unit basis economic profit can be determined as the difference between: a. Marginal revenue and product price b. Marginal revenue and marginal cost c. Product price and average total cost d. Average fixed cost and product pricea company makes coffee mugs it costs them $8 per mug to make the mugs in addition to their daily overhead cost of $90 if the company charges $12 per mug what is their simplified daily profit function P(x)The revenue and cost functions for a particular product are given below. The cost and revenue are given in dollars, and xrepresents the number of units . R(x) = −0.2x2 + 172x C(x) = 90x + 8385 e) what is the maximum profit?