# Answer on Differential Equations Question for sami

Question #8696

Jamal has been an idea for a new computer game that they want to develop. The function T (x) = 100-20x + 2 x → 2 discloses the time in days it takes for the x programmers to develop the game.

a) How many programmers should be set aside for uppgigten if you want the game finished in the shortest possible time?

b) How many days are needed to get the game completed in the shortest possible time?

a) How many programmers should be set aside for uppgigten if you want the game finished in the shortest possible time?

b) How many days are needed to get the game completed in the shortest possible time?

Expert's answer

To find the number of programmes which minimisers time we should find derivative of T(x):

T'(x)=-20+4x

and find its zero points:

-20+4x=0 => x=5

To show that it's really a maximum point we find second derivative T''(x)=4>0 so we found maximu& point

x=5 is the number of programmers to finiksh the game in teh shortest time. To find this very time in days we calculate T(5)=100-20*5+2*25=50 days

T'(x)=-20+4x

and find its zero points:

-20+4x=0 => x=5

To show that it's really a maximum point we find second derivative T''(x)=4>0 so we found maximu& point

x=5 is the number of programmers to finiksh the game in teh shortest time. To find this very time in days we calculate T(5)=100-20*5+2*25=50 days

Need a fast expert's response?

Submit orderand get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

## Comments

## Leave a comment