Mathematics: Let C(q) represent the cost and R(q) represent the revenue, in dollars, of producing q items. a. If C(50) = 4900 and C (50) = 27, estimate C(52) C(52)= $ b. If C (50) = 27 and R (50) =37, approximately how much profit is earned by the 51st item? The profit on the 51st itme is dollars. c. if C (100) =41 and R (100)= 37, should the company produce the 101st item? The company produce the 101st item

question not clear. Where is the table?...

Let C(q) represent the cost and R(q) represent

Ответ:

gabbymay85

29.01.2022

Mathematics

(a)$4954

(b)$10

(c)The company should not produce the 101st item.

Step-by-step explanation:

(a)

$C'(50)=\dfrac{C(52)-C(50)}{52-50} \\\\C(50) = 4900,C'(50) = 27\\\\$Therefore:\\27=\dfrac{C(52)-4900}{52-50}\\C(52)-4900=27*2\\C(52)=4900+54\\C(52)=\$4954$

(b)If C'(50) = 27 and R'(50) =37

Cost will increase by $27Revenue will increase by $37

Therefore, the profit earned on the 51st item

=R'(50)-C'(50)

=37-27

=$10

(c)If C'(100) = 41 and R'(100) =37

Cost will increase by $41Revenue will increase by $37

Therefore, the profit earned on the 101st item

Profit =R'(100)-C'(100)

=37-41

=-$4

The company should not produce the 101st item. It would lose $4 if it does.

0,0(0 оценок)

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question