Write the system of constraints and the function to be maximized for the problem below. do not solve. Carl's calendar company sells two kinds of calendars. the scenic calendar requires only 12 pages but costs $16 in printing fees. the appointment calendar uses 30 sheets, but costs $10 to print. if Carl is limited to 40,000 pages and $7000, how many of each should he produce for maximum profit if he profits $3 from scenic and $2 from appointment calendars?

Question

Write the system of constraints and the function to be maximized for  the problem below. do not solve. Carl's calendar company sells two kinds of calendars. the scenic calendar requires only 12 pages but costs $16 in printing fees. the appointment calendar uses 30 sheets, but costs $10 to print. if Carl is limited to 40,000 pages and $7000, how many of each should he produce for maximum profit if he profits $3 from scenic and $2 from appointment calendars?

anonymous · Answer

s= number of scenic calendars
a = number of appointment calendars

Constraints: 
1. number of pages
$n(a,b):12s+30a\le40000$
2. expenses
$e(a,b):16s+10a\le7000$

Cost function to maximize = profit
$p(a,b)=3s+2a$

maximize this profit both the constraints!!!

anonymous · Answer

THANKS!!!!!!!!!!! I was having problems thanks!