The profit (in thousands of dollars) of a company is given by P(x) = -5x2 + 1000 x + 5000

where x is the amount (in thousands of dollars) the company spends on advertising

a) Find the amount. x, that the company has to spend to maximize its profit

b) Find the maximum profit Pmax​

The vet charges $45 for an office visit and $10 for each vaccination your dog needs. write an eaquation

Given the equation f(x)=a(b)x where the initial value is 40 and the growth rate is 20% what is f(4)

Need to finish my juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a.) a hemisphere with a diameter of 12 feet b.) a cube with a side length of 12 feet c.) a cone with a diameter of 12 feet and a height of 10 feet d.) a square pyramid with a base side length of 12 feet and a height of 9 feet