The demand function for a product marketed by a company is p = (80-D) / 4, where Dis the number of units and p is the price per unit. The value of D that will achieve maximum revenue is Blank 1 units.

How can you calculate this question step by step? Thank you!

The daily demand function for x LED lights sold by a major retailer is p = 1112.5 0.75x dollars, and the average cost of sales is C = 250 + 3x dollars. Find the quantity that will maximum profit, the selling price at that quantity and the maximum profit. a) Selling LED lights will maximum profit. b) The selling price at the answer in part (a) is $ c) The maximum profit is $

The HAC at Humberview has decided to sell Gatorade to raise money.  The demand function is described by  px=-4x+340 , where x is the number of bottles, in hundreds, and px is in dollars.  The cost function, in dollars, is described by Cx=300x-275.  Determine the number of Gatorade bottles they must sell so that they maximize their profit.

I A consumer's Marshallian demand for y is given by gy(Pa, Py, I) = —— 3. The price of Py = good y is py 4 and the consumer's income is I = 15. What is ey,py, the consumer's own price elasticity of demand for y? (a) −15 (b) -5 (c) -5/12 (d) −1 (e) -15/16

Consider a firm with the market demand function for its product given by: p =1000 – 2Q; and total cost of production given by: TC = Q3 – 59Q2 + 1315Q + 2000. (a) Obtain the firm’s Total Revenue function. (b) Find the amount of Total Revenue when the firm sells 30 units of output. (c) Obtain the firm’s Profit function. (d) Find the amount of Total Profit when the firm sells 30 units of output.

(i) If the demand function for a particular commodity is p=−0.09x+51 and the total cost function C(x)=1.32x2+11.7x+101.4,where x is the level of production. Find (a) The revenue R(x) and profit Π(x). (b) All values of x for which production of the commodity is profitable. (ii) The total cost of manufacturing x units during the daily production run at a factory,is C(x)= x2+ x+900 dollars. Usually,x(t)=25t units are manufactured during the first t hours of production. (a) Express the total manufacturing cost as a function of t. (b) How much will have been spent on production by the end of the third hour? (c) When will the total manufacturing cost reach $11,000?

A soap company sold 250,000 soaps for which the variable cost of manufacture was $4.20 per soap. Each soap contributes 30% of its revenue to fixed costs and profit. This year the company decided to give a price reduction of 5%. How many more soaps will the company have to sell at the 5% price reduction to earn the same profit.

A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price=160−0.02×Demand for an annual printing of this particular product. The fixed costs per year​ (i.e., per ​printing)=​$47,000 and the variable cost per unit=​$40. What is the maximum profit that can be​ achieved? What is the unit price at this point of optimal​ demand? Demand is not expected to be more than 4,000 units per year. The maximum profit that can be achieved is ​$? ​(Round to the nearest​ dollar.) The unit price at the point of optimal demand is ​$? per unit. ​

Website Profit You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 1120 log-ons per month. When you lowered the price to $2.50, the demand increased to 1400 log-ons per month. (a) Construct a linear demand function for your website and hence obtain the monthly revenue R as a function of the log-on fee x. R(x) = = (b) Your Internet provider charges you a monthly fee of $50 to maintain your site. Express your monthly profit P as a function of the log-on fee x. P(x) = Determine the log-on fee you should charge to obtain the largest possible monthly profit (in dollars). X = $ What is the largest possible monthly profit (in dollars)? $ LA