What combination of a and b will yield the optimum for this problem?
Maximize $6a + $15b, subject to (1) 4a + 2b ≤ 12 and (2) 5a + 2b ≤ 20 and (3) x, y ≥ 0.
Select one:
a. a = 0, b = 0
b. a = 3, b = 3
c. a = 0, b = 6
d. a = 6, b = 0
e. a = 0, b = 10

Respuesta :

c. a = 0, b = 6 is the  combination of a and b will yield the optimum for this problem

Given equation 4a+2b<=12

a=0,b=0

4*0+2*0<=12

0<=12

a=0,b=6

4*0+2*6=12

12<=12

only option a and c holds correct answer

now, check $6a+$15b

putting option c in above equation

6*0+15*6=90

hence option c is correct

a=0,b=6

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