Suppose we know that p=1,056- D/5, where p: price in dollars and D = annual demand. The total cost per year can be approximated by $1,000 + 2D². a. Determine the value of D that maximizes profit. b.Show that in part(a) profit has been maximized rather than minimized. c. Find the maximum profit
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- Suppose we know that p=1,056– D/5, where p = price in dollars and D = annual demand. The total cost per year can be approximated by $1,000 + 2D2 . a.Determine the value of D that maximizes profit. b.Show that in part(a) profit has been maximized rather than minimized. c. Find the maximum profitAssume that B = -Q 2 + 4,500Q and C= 2Q 2 are the benefits and costs of increasing the units of X-brand energy drink (in a 500 ml bottle). B. What is the profit-maximizing value of Q? Solve the problem using a tabular solution, showing the Profit, MB, MC and MNB values; assume Q varies by 50 units (in 500 ml bottle). Highlight the profit maximizing level.Suppose we know that p=1,056– D/5, where p = price in dollars and D = annual demand. The total cost per year can be approximated by $1,000 + 2D2 . a.Determine the value of D that maximizes profit. b.Show that in part(a) profit has been maximized rather than minimized. c. Find the maximum profit Show handwritten solutions.
- An entrepreneur named Khadijah has total revenue shown by the equation TR = 150Q - 5Q² and total costs shown by the equation TC = 20 - 10Q. Determine the amount of output that must be produced by Khadijah to get the maximum profit and what is the maximum profit from that amount of output. Prove that the value obtained is the maximum!The BCY Corporation provides accounting services to a wide variety of customers, most ofwhom have had a business association with BCY for more than five years.BCY's demand is: P = 24,000 – 20Q, and BCY's marginal cost of service is: MC = 40Q.a. If BCY charges a uniform price for a unit of accounting service, Q, what price must itcharge per unit, and how many units must it produce per time period in order to maximizeprofit? Calculate the consumer surplus.b. If BCY could enforce first-degree price discrimination, what would be the lowest pricethat it would charge and how many units would it produce per time period?c. With perfect price discrimination and ignoring any fixed cost, what is total profit andwhat is the amount of consumer surplus?Electrical Components Profit A company’s dailyprofit from the production and sale of electrical components can be described by the equation P(x) =6.45x - 2000 dollars, where x is the number of unitsproduced and sold. What level of production andsales will give a daily profit of more than $10,900?
- Suppose we know that p=1,056- D/5, where p = price in dollars and D = annual demand. The total cost per year can be approximated by $1,000+ 2D2. a.Determine the value of D that maximizes profit. b.Show that in part(a) profit has been maximized rather than minimized. c. Find the maximum profit Show complete solution.Round off your final answer to whole #. A company produces and sells a consumer product and is able to control the demand by varying the selling price. The approximate relationship between price and demand is p=45 + 2700/D - 5000/D2 for D > 1 The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $38 per unit. What is the number of units that should be produced and sold each month to maximize profit?The equation p(x)= −40?^2 + 8000? − 250000 takes x, the number of items produced of a particular new consumer electronic device, and gives P, the profit generated for the manufacturer (in thousands of dollars). Determine the maximum profit.
- A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p = 75 – 0.1D units (D is the demand or quantity sold per month and p is the price in dollars). The fixed cost is $1,000 per month and the variable cost is $30 per unit produced. Solve, a. What is the maximum profit per month related to thisproduct? b. What is the range of profitable demand during a month?A toy manufacturer makes miniature trucks. The price p (in dollar) and the demand x (number of miniature trucks) are related by the equation 6000 − 600p = x. The total cost for the same toy manufacturer to produce x miniature trucks can be modeled by C(x) = 8x + 450.a) Find P' (300) and interpret the result.b) What is the exact profit from the sale of the 301st miniature truck?The expression "3/10, net 45" means that eh customers receive a 3 % discount if they pay within 10 days; otherwise , they must pay in fall within 45 days. What would the sellers cost of capital have to be in order fo reht discount to be cost justified?(hint Oppurtinity cost)