Maui Surf Company makes custom made surfboards at shops in Lahaina and Hana both on the island of Maui. As supply chain manager, you must coordinate the distribution of its surfboards to Kanapali Beach and Ho'okipa Beach. The Lahaina shop can make 120 surfboards while the Hana shop can make 175 surfboard annually. Kanapali Beach orders 155 boards and Ho'okipa Beach orders 140 boards annually. You have an annual transportation budget of $4890 and transportation costs from each shop to each beach are as follows: Lahaina to Kanapali: $10 per board; Lahaina to Ho'okpia:$13 per board; Hana to Kanapali:$25 per board and Hana to Ho'okipia: $15 per board. Assuming you wish to fill all orders, how many boards are shipped from each shop to each beach? Lahaina to Kanapali: Lahaina to Ho'okipia: Hana to Kanapali: Hana to Ho'okpia:

You are opening a plant that will manufacture widgets (w) and gizmos (g). The widget machines cost $10,000 each. They each require 4 operators and 500 square feet o space. The gizmo machines each cost $6,000 ard require 6 operators and 500 square feet of space. Your new plant has 40,000 square feet of space available for the machines. HR estimates that you will be able to hire 460 operators to run the machines. Your budget for buying machines is $660,000. a) List all 5 constraints. b) List the coordinates of the corners of the graph in (g,w) form. (We cannot buy a fraction of a production machine. If the corners are not whole numbers, give the closest whole number coordinates along each constraint line.) c) Given the following estimated profits per hour per machine in each scenario, how many of each type of machine should you buy? What will be your profit per hour at tha Profit per Maximum Profit per Widget Number of Gismos Number of Widets Gizmo Profit $99 $98 $78 $120 $265 $103 ts…

A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2700 mg of iron, 2400 mg of vitamin B-1, and 1800 mg of vitamin B-2, One Maxivite pill contains 500 mg of iron, 200 mg of vitamin B-1, and 100 mg of vitamin B-2, and costs $0.05. One Healthovite pill provides 100 mg of iron, 150 mg of vitamin B-1, and 150 mg of vitamin B-2, and costs $0.06. Complete parts (a)-(c) below. (a) What combination of Maxivite and Healthovite pills will meet the walrus's requirement at lowest cost? What is the lowest cost? Set up the linear programming problem. Let m represent the number of Maxivite pils, h represent the number of Healthovite pills, and c represent the total cost in dollars. Minimize c= 0.05m + 0.06h subject to 500m + 100h 2 2700 200m + 150h 2 2400 100m + 150h 2 1800 m20, h 2 0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) The best combination of pilts that moets the walrus's…

A patient takes vitamin pills. Each day he must have at least 300IU of vitamin​ A, 3 mg of vitamin B1​, and 60 mg of vitamin C. He can choose between pill​ 1, which contains 180 IU of vitamin​ A, 1 mg of vitamin B1​, and 10 mg of vitamin​ C, and pill​ 2, which contains 60 IU of vitamin​ A, 1 mg of vitamin B1​, and 40 mg of vitamin C. Pill 1 costs 25¢​, and pill 2 costs 50¢. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his​ cost? What is the minimum​ cost?   He should buy nothing of pill 1 and nothing of pill 2. The minimum cost is $ nothing. ​(Simplify your answers. Type integers or​ decimals.)

An animal food must provide 60 units of vitamins and 67 calories per serving. One gram of soybean meal provides 2.5 units of vitamins and 5 calories. One gram of meat byproducts provides 4.5 units of vitamins and 3 calories. One gram of grain provides 5 units of vitamins and 10 calories. A gram of soybean meal costs 7¢, a gram of meat byproducts 9¢, and a gram of grain 10¢. (a) What mixture of these three ingredients will provide the required vitamins and calories at minimum cost? (b) What is the minimum cost? (a) Set up the initial tableau for the dual maximum problem. Fill in the missing entries. X2 S1 S2 S3 2.5 1 4.5 3 10 10