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(a) : = $76 total amount = 80+78+76 = $ 234
(b) formula Rent = 80-2 (n-1) where n is the number of room rented...
solving we get Rent = 80-2n+2 hence Formula is Rent = 82-2n
(c) revenue : 80 + 80-2*(1)+ 80-2*(2) + -------- 80 -2*(n-1)
hence we can write : 80n -2*[ 1+2+3 + ----- (n-1)]
or , 80n -2 *(n-1)(n)/2 = 80n -n(n-1)
or 80n-n^2+n = 81n-n^2
hence Revenue R(n) = 81n-n^2
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