The manufacturer of a wine bottle spends $4.80 to make each bottle and sells them for

Question

The manufacturer of a wine bottle spends  to make each bottle and sells them for . The manufacturer also has fixed costs each month of .

Find the cost function, , when  bottles are manufactured

   

Find the revenue function, , when  bottles are sold

pls answer the blank and explain thank you!

 

  

Answer 1

C(x) = 4.8x +5000 with x measured in bottles and C measured in dollars

R(x) = 9.6x

Profit = R-C = 9.6x -4.8x -5000 = 4.8x -5000

to break even 4.8x -5000 = 0

4.8x = 5000

x = 5000/4.8 = 1041 2/3 bottles

to turn a profit requires selling at least 1042 bottles,