Question 175018
lets call the number of small vans and large vans purchased ,be S and L, respectively
:
{{{10000S+20000L<=100000}}}...eq 1 (for purchases)
:
{{{100S+75L<=500}}}...........eq 2(for maintanence)
:
divide equation 1 by 10000
:
{{{s+2L<=10}}} revised eq 1
{{{s<=5-(3/4)L}}}revised eq 2
:
take s's value in eq 2 and plug it into eq 1
:
{{{5-(3/4)L+2L<=10}}}
:
multiply all terms by 4
:
{{{20-3L+8L<=40}}}
:
{{{5L<=20}}}
:
{{{highlight(L<=4)}}}
:
{{{highlight(s<=5-(3/4)L<=5-(3/4)(4)<=2)}}}
:
so if we purchase 4 Large vans and 2 small vans we can carry
:
4(15)+2(7)=74 passengers