1) Consider the following. You need to ship boxes of food and clothing to provide disaster relief. A box of food will help 12 people. A box of clothing will help 5 people. A box of food is 20 cubic...

1) Consider the following. You need to ship boxes of food and clothing to provide disaster relief. A box of food will help 12 people. A box of clothing will help 5 people. A box of food is 20 cubic feet and weighs 50 pounds. A box of clothing is 10 cubic feet and weighs 20 pounds. You are restricted to 19,000 pounds and 8000 cubic feet.

a. Give the objective function and constraints.

b. Sketch the system of inequalities the constraints form and shade the feasible space.

c. Find the vertices of the feasible space.

d. Find the vertex that maximizes your objective function.

2) Give a sequence of 10 pieces of data that you would use the following functions to model. Draw a rough sketch of what your data would look like graphed. Give the general equation for your model.

a. Linear

b. Exponential

c. Logarithmic

d. Quadradic

e. Bonus: Polynomial of order 3

Homework 7 1) Consider the following. You need to ship boxes of food and clothing to provide disaster relief. A box of food will help 12 people. A box of clothing will help 5 people. A box of food is 20 cubic feet and weighs 50 pounds. A box of clothing is 10 cubic feet and weighs 20 pounds. You are restricted to 19,000 pounds and 8000 cubic feet. a. Give the objective function and constraints. b. Sketch the system of inequalities the constraints form and shade the feasible space. c. Find the vertices of the feasible space. d. Find the vertex that maximizes your objective function. 2) Give a sequence of 10 pieces of data that you would use the following functions to model. Draw a rough sketch of what your data would look like graphed. Give the general equation for your model. a. Linear b. Exponential c. Logarithmic d. Quadradic e. Bonus: Polynomial of order 3