Kendra sells cakes and pies every Tuesday at the local farmers market. Each cake requires 40 minutes of labor and ingredients costing $1.80 and can be sold for $6.00 profit. Each pie requires 50 minutes of labor and ingredients costing $1.20 and can be sold for$5.00. Kendra does not want to work more than 40 hours in one week making cakes and pies and she cannot spend more than $90 on ingredients per week. She wants to maximize her profit. Graph the region of possible solution.

You have $37,000 you would like to invest in two different stocks, Stock Boll and Stock Coff. The buying limit on Stock Coff is $12,900 and you want to spend at least two times as much money on Stock Boll as Stock Coff. If Stock Boll earns 5% annual interest and Stock Coff earns 4% annual interest, how much money (in dollars) should you invest in each stock to maximize your annual interest earned? What is the maximum annual interest (in dollars)? You will earn a maximum total annual interest of $   if you invest $   in Stock Boll and $   in Stock Coff.

Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 48 hours a week. He routinely completes at least 2 shocks replacements and 6 brake replacements a week. If he charges $400 for labor replacing shocks and $200 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income? Kevin should do shock replacements and brake replacements every week to maximize his weekly income.

A certain magical substance that is used to make solid magical spheres costs $500 per cubic foot. The power of a magical sphere depends on its surface area, and a magical sphere can be sold for $50per square foot of surface area. If you are manufacturing such a sphere, what size should you make them to maximize your profit per sphere?

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

You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular pool​ walls, and the fourth side will have the infinity pool wall. Regular pool walls cost ​$15 per foot​ (regardless of how deep the pool​ is), and the infinity pool wall costs ​$35 per foot​ (regardless of​ depth). How long should you make the infinity wall so that you minimize your​ costs?