A watch company produces digital and analog watches to sell. The company can produce no more than 100 watches per day.
At least 20 digital watches and 25 analog watches are produced each day.
The company makes a $20 profit for each digital watch sold and a $30 for each analog watch sold.
How many of each type of watch should be produced to maximize profit?

$400 and $750

Step-by-step explanation:

20*20=400 25*30=750

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

i think it is 70

step-by-step explanation: