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 month
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- The demand function for a tablet is given by the model P= 200-16x2 where p is measured in dollars per tablet and x is measured in millions of tablets. If it costs $50 to produce each tablet and a profit of $125 million was derive when 2.5 million tablets were produced. Derive the number of tablets that the company could sell to make the same amount of profit?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 total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x) = 28x + 20,160 and R(x) = 200x - 0.2x2 for 0sxs 1000. Find the value of x where the graph of R(x) has a horizontal tangent line. Find the profit function P(x). Find the value of x where the graph of P(x) has a horizontal tangent line. Graph C(x), R(x), and P(x) on the same coordinate system for 0 sxs 1000. Find the break-even points. Find the x-intercepts of the graph of P(x).
- The daily demand function for x LED lights sold by a major retailer is p = 715 0.75x dollars, and the average cost of sales is C = 220 +2x dollars. Find the quantity that will maximum profit, the selling price at that quantity and the maximum profit.a textile company manufactures and sells x shirts per month. the monthly cost and price demand equations are given as C(x)= 150,000+30x and p = 50-x/100. using the analysis from obtaining the demand function and price elasticity of demand, discuss what the textile company can do to increase revenue from the sale of shirts.E Let the demand function for a product be given by the function D(q) = -1.65g + 270, 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 $4, 000 and variable costs are $3 per item produced. If 96 items are produced and sold, find the following: A) The total revenue from selling 96 items (to the nearest penny). Answer: $ B) The total costs to produce 96 items (to the nearest penny). Answer: $ C) The total profits to produce 96 items (to the nearest penny. Profits may or may not be negative.). Answer: $ Question Help: C ME PE Video 66°F Mostly cloudy
- The total cost and the total revenue (in (A) dollars) for the production and sale of x ski jackets are given by C(x)=22x+22,200 and R(x)=200x-0.2x² for 0 sxs 1000. Find the value of x where the graph of R(x) has a horizontal tangent line. Find the profit function P(x). (B) (C) Find the value of x where the graph of P(x) has a horizontal tangent line. (D) Graph C(x), R(x), and P(x) on the same coordinate system for 0 sxs 1000. Find the break-even points. Find the x-intercepts of the graph of P(x). (A) R(x) has a horizontal tangent line at x (B) The profit function P(x- (C) P(x) has a horizontal tangent line at x -0 (D) Choose the correct graph of C(x), R(x), and P(x) graphed together. OA AY 50000- 38700 22200 10000+ 0 0 Rox) PIN Q Ca 500 1000 E What are the break-even points? OA (150,25500) and (740.38480) OB. (225,23970) and (629,34632) OC. (150,26500) and (629,38480) D. (300.28050) and (629,38490) OB. 50000 33200 22200 10000 04 Rx) A Poo 500 1000 du OC. 50000- 33200 22200- 10000 0 0…The demand function and total cost function for a product are 6P = 660 − 3Q, TC = 80 − 20Q2 + 600Q (a) Write down expressions for: (i) average cost, (ii) marginal cost, (iii) total revenue, (iv) marginal revenue, (v) profit. (b) Determine the values of Q for which total cost is a maximum. Calculate the maximum costs. Calculate the profit when total costs are a maximum. (c) Determine the value of Q for which profit is a minimum. What is the minimum profit?The total revenue function for a product is given by R=655x dollars, and the total cost function for this same product is given by C=19,250+70x+x2, where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 25 units are produced and sold? c. What is the profit when 43 units are produced and sold?
- The total revenue function for a product is given by R=655x dollars, and the total cost function for this same product is given by C=19,250+70x+x2, where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 25 units are produced and sold?A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 − p, where q is the number if laundry sinks demanded and p is te price of a laundry sink. (b) Find a function for the average cost of this company?Let the demand function for a product be given by the function D(q) = - 1.3q + 290, 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 $5, 000 and variable costs are $9 per item produced. If 192 items are produced and sold, find the following: A) The total revenue from selling 192 items (to the nearest penny). Answer: $ B) The total costs to produce 192 items (to the nearest penny). Answer: $ C) The total profits to produce 192 items (to the nearest penny. Profits may or may not be negative.). Answer: $