cc = .6 x + .45 y </= 400
rb = .4 x + .55 y </= 300
income = i = 8 x + 10 y objective, maximize
graph those functions, check the corners
Linear programming
A candy merchant sells two variety bags of cookies. Each pound of variety X contains 60 % chocolate chips and 40% raisin bran and sells for $ 8.00 a pound. Each pound of variety Y contains 45% of chocolate chips and 55% raisin bran and sells for $ 10 .00 a pound. The merchant has available 400 pounds of chocolate chips and 300 pounds of raisin bran. The merchant will try to sell the amount of each blend that maximizes her income. Let x be the number of pounds of variety bag X and y be the number of pounds of variety bag Y.
(a). Since the merchant above has available 300 pounds of raisin bran , what inequality must be satisfied in the situation above
(b) What is the objective function?
4 answers
http://www.zweigmedia.com/RealWorld/LPGrapher/lpg.html
maximize p = 8x + 10y subject to
.6x + .45y <= 400
.4x + .55y <= 300
===============================
Vertex Lines Through Vertex Value of Objective
(566.666667,133.333333) .6x+.45y = 400; .4x+.55y = 300 5866.666667 Maximum
(666.666667,0) .6x+.45y = 400; y = 0 5333.333333
(0,545.454545) .4x+.55y = 300; x = 0 5454.545455
(0,0) x = 0; y = 0 0
.6x + .45y <= 400
.4x + .55y <= 300
===============================
Vertex Lines Through Vertex Value of Objective
(566.666667,133.333333) .6x+.45y = 400; .4x+.55y = 300 5866.666667 Maximum
(666.666667,0) .6x+.45y = 400; y = 0 5333.333333
(0,545.454545) .4x+.55y = 300; x = 0 5454.545455
(0,0) x = 0; y = 0 0
Damon,
Thank you! Thank you so much! You are such a blessing to Math. :)
Abby
Thank you! Thank you so much! You are such a blessing to Math. :)
Abby