Boats In The Sun manufactures two Kinds of inflatable boats, two-person boats and four-person boats. Each two-person boat requires 0.9 labor-hours in the cutting department and 0.8 labor-hours in the assembly department. Each four-person boat requires 1.8 labor-hours m the cutting department and 1.2 labor-hours in the assembly department. The maximum labor-hours available each month in the cutting and assembly departments are 884 and 672, respectively. In addition the distributor w4l not take more than 750 two-person boats each month. The company wants to determine a production schedule that will maximize the monthly profit. If the company anticipates making a profit of $30 on each two-person boat and $50 on each four-person boat, how many boats of each kind should be manufactured each month to maximize the profit? An appliance store sells two brands of televisions. Each Daybrite set sells for $425, and each Noglare set sells for $700. The store's warehouse capacity for television sets is 350, and new sets are delivered only one each month. Records show that customers will buy at least 70 Daybrite sets and at least 180 Noglare sets each month. How many of each brand should the store stock and sell each month to maximize revenue? Peggy made a down payment of $500 toward the purchase of new furniture. To play the balance of the purchase price, she has secured a loan from her bank at 7.89% per year compounded monthly. Under the terms of her finance agreement, she is required to make payments of $75.67 at the end of each month for 24 months. What was the purchase price of the furniture? A company has an immediate need for a loan. In an agreement worked out with its banker, the company assigns its royalty income of $4800 per month for the next 3 years from certain oil properties to the bank, with the first payment duo at the end of the first month. If the bank charges interest at the rate of 9% per year compounded monthly, what is the amount of the loan negotiated between the parties? The Meek brothers are planning a trip around the world. They hope to work some as they go, but believe that they should have accessible $800 per month so they can live in relative comfort for the year they plan to be gone. How much should they have in an account earning 6% compounded monthly when they leave so that they can withdraw the desired $800 each month for twelve months? 6. A group of people were surveyed about what media source they use to get news about their community. It was found that 134 read only the paper, 231 watch only TV, 39 listen to the radio and watch TV, and 4 read the paper, watch TV and listen to the radio. It was also found that 371 watch TV. 279 read the paper, 96 listen to the radio, and 5 do not use any of the three media sources mentioned hero to get news about their community. How many people surveyed: read the paper and watch TV9 read the paper and listen to the radio only? watch TV or listen to the radio? use exactly two of the three media sources to get news about their community? listen to the radio or watch TV, but don't read the paper? use exactly two of the three media sources mentioned hero? use at least two of the three media sources mentioned here? use at most 1 of the throe media sources mentioned here? Let A = {Joe, Bill, Sarah, Kathy, Michael, Gary, Amanda, Grant, Nicole, Connie) B = {Michael, Jim, Ethel, Connie, Randy}, and C = {Frank, Randy, Millie, Joe, Jim, Grant} Find n(C (A B))
