Please check my answers:

Solve the problem.

A steel company produces two types of machine dies, part A and part B. The company makes a $3.00 profit on each part A that it produces and a $5.00 profit on each part B that it produces. Let x= the number of part A produced in a week and y= the number of part B produced in a week. Write the objective function that describes the total weekly profit.

I got: z=3x+5y

A dietitian needs to purchase food for patients. She can purchase an ounce of chicken for $0.25 and an ounce of potatoes for $0.02 Let x= the number of ounces of chicken and y= the number of ounces of potatoes purchased per patient. Write the objective function that describes the total cost per patient per meal.

I got: z=0.25x+0.02y

1 answer

The first one is correct, except I would have used "p" as the variable for "profit."

p = 3x + 5y

The second one is also correct. Again, I would have used "c" as the variable for "cost." It's just helpful to understand the relationship between the variables. I had a teacher who really hammered this concept.

c = .25x + .02y
(With or without the leading zeroes is fine.)