Costco sells a 72lb wheel of Parmigiano Reggiano cheese for $899. It costs them $700 to produce each wheel. Their cheese warehouse incurs $20,000 in bills every month.
a. Find the marginal cost, marginal revenue, and marginal profit for Costco’s wheel of cheese.
Explain what each means using a full sentence. (Be sure to include units).
b. How many wheels of cheese must Costco sell to make at least $20,000 in profit? (your answer
should be given as a whole number).

We have enough material to build a fence around a station that has a perimeter of 180 feet the width of the rectangular space must be 3 1/4 feet what must the length be

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

What is the maximum of the sinusoidal function