1. What are the key elements in the problem: objective function, decision variable(s), parameters, and constraints?
2. Which parameter in the problem has the greatest impact on the objective function?

The Howard's Farm makes applesauce and apple juice from their apples. It costs $0.80 to produce a jar of applesauce and $0.60 to produce a bottle of apple juice. The farm has a policy that at least 20 percent but not more than 60 percent of its output must be applesauce. The farm wants to meet but not exceed the demand for each product. Howard estimates that the demand for applesauce is a maximum of 5,000 jars, plus an additional 3 jars for each $1 spent on advertising for applesauce. The maximum demand for apple juice is estimated to be 4,000 bottles, plus an additional 5 bottles for every $1 spent on advertising for apple juice. The farm has $16,000 to spend on producing and advertising its two products. Applesauce sells for $1.75 per jar; apple juice sells for $1.75 per bottle. Howard wants to know how many units of each product to produce, and how much advertising to spend on each product, in order to maximize profit. Can you help him