Question

The annual operating cost of YSport Fitness Gym is estimated to be ?(?)= 100,000 + 160?−0.2?^2 dollars (0≤?≤400 ) where ? is the number of members. Annual revenue from membership averages $800 per member.

a.What is the variable cost?

b. What is the fixed cost?

c.What is the Revenue function?

d. What is the Profit function?

e.How many members must ? have to break even? Round to the nearest whole.

The manager of a medical equipment factory has determined that when they set the price of a ?−95 mask to ? dollars, they are able to sell ?(?)=−20?+ 200?−95 face masks, where 0≤?≤10. a.When they set the price to $3 for each ?−95 mask, how many ?−95 masks are sold?

b.When they set the price to $3 for each ?−95 mask, how much revenue is earned?

c.Find the revenue function for ?−95 masks, in terms of price, ?.

Answer 1

According to the guidelines , I can solve only first four subparts of the first question