A manufacturer has been selling gadgets at a price of $50 each, and at this price, customers have been buying 105 gadgets each week. The manufacturer is considering reducing the price, and estimates that for each $1 reduction, weekly sales will increase by 6 gadgets. The manufacturer's production cost is $20 per gadget. At what price should the gadgets be sold to maximize the weekly profit?

A toy manufacturer estimates the demand for a game to be 2000 per year. Each game costs $5 to manufacture, plus setup costs of $500 for each production run. If a game can be stored for a year for a cost of $2, how many should be manufactured at a time and how many production runs should there be to minimize costs? games per run runs for the year

. A company manufactures and sells x digital cameras per week. The weekly demand equation isp = 400 - 0.4x, and the weekly cost equation is C(x) = 2000 + 160x. How many items should be manufacturedand sold to maximize profit? (

Tabitha manufactures a product that sells very well. The capacity of her facility is 207,000 units per year. The fixed costs are $157,000 per year and the variable costs are $14 per unit. The product currently sells for $16. a. What total revenue is required for a net income of $482,000 per year? Round to the nearest cent b. If sales were at 55% of the capacity and the variable costs decreased by 25%, what would be the net income per year? Round to the nearest cent

A company has $11,270 available per month for advertising. Newspaper ads cost $180 each and can't run more than 21 times per month. Radio ads cost $570 each and can't run more than 34 times per month at this price. Each newspaper ad reaches 7200 potential customers, and each radio ad reaches 7800 potential customers. The company wants to maximize the number of ad exposures to potential customers. Use n for number of Newspaper advertisements and r for number of Radio advertisements. subject to Maximize P - 21 <34 <$11, 270 Enter the solution below. If needed, round ads to 1 decimal palace and group exposure to the nearest whole person. Number of Newspaper ads to run is Number of Radio ads to run is Maximum target group exposure is people