Problema Solution
Carlo and Anita make mailboxes and toys in their craft shop near Lincoln. Each mailbox requires 1 hour work from Carlo and 4 hours from Anita. Each toy requires 1 hour work from Carlo and 2 hours from Anita. Carlo cannot work more than 7 hours per week and Anita cannot work more than 20 hours per week. If each mailbox sells for $14 and each toy sells for $19, then how many of each should they make to maximize their revenue?
Answer provided by our tutors
let
m = the number of mailboxes
t = the number of toys
m + t <= 7
4m + 2t <= 20
m >= 0
t >= 0
the objective function is F(m, t) = 14m + 19t
click here to see the graph of the system of 4 inequalities and find the corner points
the corner points are (5, 0), (0, 7), (3, 4)
F(5, 0) = 14*5 = 70
F(0 , 7) = 19*7 = 133
F(3 , 4) = 14*3 + 19*4 = 118
to maximize the revenue they should make 7 toys.