Given cost and price (demand) functions C(q) = 120q+45,400 and p(q) = -2.7q+800, how many items must the company produce to earn $50,000 in revenue? It must produce items.
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- Hi, I need help finding the correct solution for this problem. I have tried entering both "30" and "30.00" as the solution, but the program marked both as incorrect. I'm not sure whether I'm making a small error or if I'm completely off. Please help, Thank you.Your product's revenue per unit is $30, and product's cost per unit is $10. If the demand for next month is 200 units, and it costs $1000 one time to set up the machine, what is our profit (in dollars) for next month?A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is p= 200-0.05D where p is the price per unit in dollars and D is the demand per month. The company is seeking to maximize its profit. The fixed cost is $15000 per month and the variable cost is $50 per unit. a. What is the number of units that should be produced and sold each month to maximize profit? b. What is the domain of profitable demand during a month? Show your spreadsheet.
- Bill runs a business that makes custom-printed towels. It will cost him $8 each to purchase and print on towels, and he will have to pay a rent of $1,700 per month for him workshop. Based on market research, Bill estimates that he can sell custom towels for $25 each. a) Calculate the number of towels he needs to sell per month to break-even. towels b) Calculate the break-even in dollars (round off to the nearest cent).A manufacturer of hospital supplies has a uniform annual demand for 500,000 boxes of bandages. It costs $20 to store one box of bandages for one year and $ 500 to set up the plant for production. How many times a year should the company produce boxes of bandages in order to minimize the total storage and setup costs? The company should produce boxes of bandages □ time(s) a year. A manufacturer of hospital supplies has a uniform annual demand for 500,000 boxes of bandages. It costs $20 to store one box of bandages for one year and $500 to set up the plant for production. How many times a year should the company produce boxes of bandages in order to minimize the total storage and setup costs? C The company should produce boxes of bandages time(s) a year.Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1300 per day. The price function is p(x)= 700-5x, where p the price (in dollars) at which exactly x motorbikes will be sold. Find the quantity Country Motorbikes should produce and the price it should charge to maximize profit. Also find the maximum profit. 40 quantity price profit motorbikes Enter a number.
- A manufacturer can produce a gizmo at a cost of $6 apice. He sells this gizmo for $10 ,and at this price 10 gizmos are sold each day. The manufacturer figures that each $3 dollars decrease in price will sell 3 additional goods each day. Write out the Demand and Profit functions. What price xmaximizes profit?How can you calculate this question step by step? Thank you!A firm produces a steel bar. When the price of the steel bar is $ 30,000, the quantity demanded is 8 metric tons, a 100% change in the price would change the quantity demanded by 25%. At what price should the firm sell its product to maximize its total revenue?