The unit cost, in dollars, to produce tubs of ice cream is $17 and the fixed cost is $6512. The price-demand function, in dollars per tub, is p(x) = 357 - 2x

Find the cost function. 

C(x) =

Find the revenue function. 

R(x) =

p(x) =

At what quantity is the smallest break-even point?

The unit cost, in dollars, to produce bins of cat food is $3 and the fixed cost is $13192 . The revenue function, in dollars, is \(R ( x ) = - 2 x ^ { 2 } + 333 x\) 

Find the cost function. 

\(C ( x ) = \) 

Find the profit function. 

\(P ( x ) = \) 

At what quantity is the smallest break-even point? 

Suppose you want to have $700,000 for retirement in 20 years, Your account earns 6% interest.

a) How much would you need to deposit in the account each month?

b) How much interest will you earn? 

A BCom graduate bought a small apartment for R151 000. She paid a down payment of R51 000. If the graduate secures a mortgage bond for the balance at \(15 \% \) per annum, compounded monthly, with a term of 

\(30\) years, what are the monthly payments? 

A. R419,44 

B. R1 \(316,79\) 

C. R1 \(988,35\) 

D. R1 \(264,44\) 

Suppose that a company has just purchased a new computer for $1500. The company chooses to depreciate using the straight-line method for 5 years. 

(a) Write a linear function that expresses the book value of the computer as a function of its age. 

V(x) = -300x + 1500 

(Type your answer in slope-intercept form.) 

(b) What is the implied domain of the function found in part (a)? 

\( \square \) 

(Type your answer in interval notation.)