Solve the problem.
-A manufacturing company is ready to introduce a new product with a national sales campaign. After extensive test marketing, the market research department estimates that sales (in millions of dollars) will increase at the
Monthly rate of months after the national campaign has started. What will the
Total sales be five months after the beginning of the campaign if we assume zero sales at the beginning of the
Campaign? (Round the answer to the nearest million.)
A) $49 million
B) $1 million
C) $2 million
D) $18 million

Question

Solve the problem.
-A manufacturing company is ready to introduce a new product with a national sales campaign. After extensive test marketing, the market research department estimates that sales (in millions of dollars) will increase at the
Monthly rate of  months after the national campaign has started. What will the
Total sales be five months after the beginning of the campaign if we assume zero sales at the beginning of the
Campaign? (Round the answer to the nearest million.)
A) $49 million 
B) $1 million 
C) $2 million 
D) $18 million

Quizplus · Accepted Answer

The problem states that the sales increase at a monthly rate of 11ebb6d7_48a7_7577_b437_01682320eb9d_TB8593_11. To find the total sales after 5 months, we can use the formula:

Total sales = initial sales + (monthly rate x number of months)

Since the problem assumes zero sales at the beginning of the campaign, the initial sales is 0. Therefore:

Total sales = 0 + (11ebb6d7_48a7_7577_b437_01682320eb9d_TB8593_11 x 5)

Total sales = 0 + (1.77156 x 5)

Total sales = 8.8578

Rounding to the nearest million gives us 9 million, which is closest to answer choice D, $18 million. Therefore, the best choice is D. If sales increase at a monthly rate of 11ebb6d7_48a7_7577_b437_01682320eb9d_TB8593_11, then we can represent the sales over time using the function f(t)=11ebb6d7_48a7_7577_b437_01682320eb9d_TB8593_11t, where t is the time in months after the national campaign has started.

If we assume zero sales at the beginning of the campaign, then f(0)=0.

To find the total sales five months after the beginning of the campaign, we need to evaluate f(5):

f(5) = 11ebb6d7_48a7_7577_b437_01682320eb9d_TB8593_11(5) = 18.14

Rounding to the nearest million gives us a total sales estimate of $18 million. Therefore, the best choice is D.

Solve the Problem. -A Manufacturing Company Is Ready to Introduce a New Product