Nutrition Objectives
Posted in Health and Nutrition on 03/05/2008 12:03 pm by Steven Nerenberg
A help with a math problem..?
okay so i have this hard math problem, and i dont really get it. Can someone help me?
below is the question
A nutrition center sells food to mountain climbing teams.the trailblazer mix package contains one pound of corn cereal mixed with four pounds of wheat cereal and sells for $9.75. the frontier mix package contains two pounds of corn cereal mixed with three pounds of wheat cereal and sells for $9.50. The center has 60 pounds of corn cereal and 120 pounds of wheat cereal available. How many packages of each mix should the center sell to maximize income? Solve the problems by using a graph and writing the constraints, vertices, and objective (profit) function.
how should you solve this using a equation??
Thanks in advance!!
Objective function:
Maximize 9.75x + 9.5y
where x = No of trailblazer package
and y = No of frontier package
Constraints:
x + 2y <= 60
4x + 3y <= 120
x >= 0
y >= 0
Can’t draw a graph here. But you can plot lines x + 2y = 60, 4x + 3y = 120 on a graph paper. The area enclosed between the x axis, y axis and these two lines is the solution set. The optimal solution occurs at any of the four vertices of the shaded area (which would be a quadrilateral). In this case, the optimal solution lies at the intersection point of x + 2y = 60 and 4x + 3y = 120, which is x = 12 and y = 24
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