Question

A machine manufactures aluminum cans. The machine can create 100 cans in 2 minutes, 200 cans in 3 minutes, 300 cans in 4 minutes.

Construct a function that models the number of cans created per minute.
What is the maximum number of cans that the machine can make in a minute? Explain.

please solve. thanks

Answer 1

Answer:

it can make 50 in a minute

Step-by-step explanation:

Answer 2

GIVEN :

A machine manufactures aluminum cans which create 100 cans in 2 minutes, 200 cans in 3 minutes, 300 cans in 4 minutes.

TO FIND:

Rate of can production by machine.

SOLUTION :

◆ There are two cases ,

Either can is inactive for the first 1 minute , and after the first minute rate of production of cans is 100 cans per minute.

No of cans = ( t - 1)dn/dt

t - time,

dn/dt - rate of production of cans

= 100 cans / minute

◆ 2nd case,

Rate of can production in first two minute is 50 cans / per minute ,after two minute it increases to 100cans / minute.

Number of cans

= 50 (t1 +t2) + 100 × (t3 + ...tn ).

Hence the solution.