Suppose that the percent p (as a decimal) of people who could correctly identify two of eight defendants in a drug case t days after their trial began is given by 1.6t P(t) = + 0.07. Find the number of days before the percent is maximized. days Find the maximum percent. %
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- Investor Dan has $776,000 to invest in bonds. Bond A yields an average of 5.9% and the bond B yields 8%. Dan requires that at least 4 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. How much should you invest in bond A? $ . Round to the nearest cent. Thanks!A university is trying to determine what price to charge for tickets to football games. At a price of 28$ per ticket, attendance averages 40,000 people per game. Every decrease of $4 adds 10,000 people to the average number. Every person at the game spends an average of $6 on concessions. What price per ticket should be charged in order to maximize revenue? How many people will attend at that price? What is the price per ticket ? What is the average attendance ?Investor Dan has $822,000 to invest in bonds. Bond A yields an average of 9.5% and the bond B yields 8%. Dan requires that at least 5 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. How much should you invest in bond A? $ . Round to the nearest cent. appreciate the help thanksz!!!!@@@@@@
- Aizaz charges $300 for a new product called “Magic Box” that claims you will be a Magician Guru in 60 days! At this price, he sells 1000 boxes. A survey indicates that for every $2.00 increase in price, the number sold would decrease by 5. a) Determine the new price that will maximize the revenue. b) What is the maximum revenue?An apple orchard yields 20 bushels of apples per tree when there are 75 trees per acre. For each additional tree per acre, it is estimated that yield will decrease by 3 bushels per tree. How many trees should be planted per acre to maximize the yield? Round to the nearest tree.Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apartments is given by the following function. To maximize the monthly rental profit, how many units should be rented out? units What is the maximum monthly profit realizable?
- A company found that -2p + 1000 models the number of TVs sold per month where p can be set as low as 200 or as high as 300. How can the company maximize the revenue?Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apartments is given by the following function. P(x) = −10x2 + 1720x − 56,000 To maximize the monthly rental profit, how many units should be rented out? units What is the maximum monthly profit realizable? $A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. The graph below shows how the volume of the box in cubic inches, V, is related to the length of the side of the square cutout in inches, x. Suppose the largest possible cutout length is 3.5 inches. Over what interval of xx does the volume of the box decrease as the cutout length gets larger? (Enter your answer as an interval.)
- a) Determine the level of output for which the firm?s profit is maximized.b) What is the firms?s maximum profit? PLEASE SEE THE PHOTO ATTACHED TO THIS question to solve the questions aboveq6.1 What are the values of ℓ and g? The value of the utility function at the optimal point is?Investor Matt has $791,000 to invest in bonds. Bond A yields an average of 9.6% and the bond B yields 7.3%. Matt requires that at least 4 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. What is the maximum return? $ per year. Round to the nearest cent. thanks!!