The total sales of a company (in millions of dollars) t months from now are given by

S(t)=0.05t3+0.2t2+4t+3.

(A) Find

S(t).

(B) Find

S(4)

and

S(4)

(to two decimal places).(C) Interpret

S(13)=198.65

and

S(13)=34.55.

The total sales of a company (in millions of dollars) t months from now are given by S(t) = CLt'JISt3 + 0.2t2 + 4t + 3. (A) Find S'(t). (B) Find 8(4) and S'(4) (to two decimal places). (C) Interpret 8(13) = 198.65 and S'(13)= 34.55. <:> (A) S'(t) = D (B) 8(4) = D 814) = D (C) Choose the correct interpretation of 3(13) = 198.65. O A. In approximately 199 months the sales will be increasing by $13 million per month. O B. The total sales 13 months from now will be $198.65 million dollars. O C. In 13 months the sales will be increasing at a rate of $1 98.65 million per month. O D. In approximately 199 months the sales will be $13 million dollars. Choose the correct interpretation of S'(13)= 34.55. 0 A. In 13 months the sales will be increasing at a rate of $34.55 million per month. O B. In approximately 35 months the sales will be $13 million dollars. O C. The total sales 13 months from now will be $34.55 million dollars. O D. In approximately 35 months the sales will be increasing by $13 million per month