HELP ASAP
The prot function for a computer company is given by P(x) = 7x2 + 24x 7 29 where x is the number of units produced (in thousands) and the profit is In thousands of dollars. (a) How many computers (in thousands) should the company produce in order to maximize prot? l thousand computers (b) What is the maximum profit (in thousands of dollars) for the company? l thousand dollars r Submit Answer 1 2. [-11 Points] _ 0/6 Submissions Used Wutz UpDogs, [nc., supplies hot dogs to sport stadiums. The total prot function per game is given by P(x) = 3x 7 x |n(x) on the interval [1, 100], wherex is the number ofhot dogs (in thousands) sold and P(x) is in thousands of dollars. (a) How many hot dogs (in thousands) should be sold to maximize profit? (Round your answer to three decimal places.) I lthousand hot dogs (b) What Is the maximum prot (In thousands of dollars) for Wutz UpDogs, Inc? (Round your answer to three decimal places.) lthousand dollars Submit Answer 3. [-11 Points] 0/6 Submissions Used The manager of a large apartment complex knows from experience that 150 units will be occupied if the rent is 400 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 5 dollar increase in rent. Similarly, one additional unit will be occupied for each 5 dollar decrease in rent. (a) Ifx is the number of units rented, and p is the rent per unit in dollars, what is the price-demand equation (assuming it is linear)? p: (b) What is the monthiy revenue function for the manager? (Hint: Revenue is the product of the price per item and the number of items.) owll (c) How many apartment units should be rented to maximize the monthly revenue? apartment units (cl) What is the maximum monthly revenue for the manager? t l (e) What rent (in dollars per unit) should the manager charge to maximize the monthly revenue? dollars per unit Submit Answer ' 4. [-11 Points] -0/6 Submissions Used A car rental agency rents 150 cars per day at a rate of 49 dollars per day. For each 1 dollar increase in the daily rate, 4 fewer cars are rented. (a) Ifx is the number of cars rented in a day, and p is the daily rental price per car, what is the price-demand equation (assuming It Is linear)? p=l (b) What is the daily revenue function for the agency? (Hint: Revenue is the product of the price per item and the number of items.) R(x) = (c) How many cars should be rented to maximize daily revenue? l Ca rs (d) What is the maximum daily revenue for the agency? sl l (e) What daily rental price should the agency charge to maximize daily revenue? sl
