Where x1 and x2 represent number of units of production of basic and advanced iPods, respectively. Production time required for the basic iPod is 6 hours per unit, and production time required for the advanced iPod is 8 hours per unit. Currently, 60 hours are available. The cost of hours is already factored into the profit function. Formulate an optimization problem that can be used to find the optimal production quantity of basic and advanced iPods. Solve the optimization model you formulated, what is the optimal value of the objective function? Round your answer to one decimal place.

Goals that are overly ambitious can discourage employees and decrease motivation, yet the idea of stretch goals is proposed as a way to get people fired up and motivated. as a manager, how might you decide where to draw the line between a “good” stretch goal and a “bad” one that is unrealistic?

Alandlord rented an art studio to an artist. under the terms of the signed, written, two-year lease, the artist agreed to pay the landlord $1,000 per month and to assume responsibility for all necessary repairs. after the first year of the lease, the artist assigned the balance of his lease to a sculptor. the landlord approved the sculptor as a tenant and accepted two rent payments from her, and then the landlord sold the building to an investor. the sculptor had made two payments to the investor when an electrical fire broke out in the studio, injuring the sculptor. the fire was caused by faulty wiring. the landlord was aware that there was a dangerous wiring problem when he leased the property to the artist. but when the landlord discovered how costly repairs would be, he decided it would be more profitable to sell the property than to repair it. the problem was not easily discoverable by anyone other than an expert electrician, and the landlord did not tell the artist, the sculptor, or the investor about the problem. the sculptor sues to recover damages for her injuries. from whom can the sculptor recover?

An investment counselor calls with a hot stock tip. he believes that if the economy remains strong, the investment will result in a profit of $40 comma 00040,000. if the economy grows at a moderate pace, the investment will result in a profit of $10 comma 00010,000. however, if the economy goes into recession, the investment will result in a loss of $40 comma 00040,000. you contact an economist who believes there is a 2020% probability the economy will remain strong, a 7070% probability the economy will grow at a moderate pace, and a 1010% probability the economy will slip into recession. what is the expected profit from this investment?