Read the problem below and answer the questions that follow. You have two attempts. Your highest score will be recorded. There is no time limit$,$ but you should submit your assignment before the due date.

Nature's Best Organic Pet Food Company wishes to introduce a new brand of cat food $($composed of tuna$-$flavored and salmon$-$flavored$)$ that meets certain nutritional requirements. The tuna$-$flavored cat food contains $100$ unit of nutrient A$,400$ units of nutrient B$,$ and $200$ units of nutrient C while the salmon$-$flavored one contains $200$ unit of nutrient A$,250$ units of nutrient B$,$ and $200$ units of nutrient C$.$ According to federal requirements, there must be at least $10,000$ units of nutrient A$,20,000$ units of nutrient B$,$ and $15,000$ units of nutrient C in a package of the new cat food mix. In addition, the company can produce no more than $110$ bags of tuna$-$flavored cat food. It costs $$15$ to make a bag of tuna$-$flavored cat food and $$20$ to make a bag of salmon$-$flavored cat food.

Let

x $=$ # of bags of tuna$-$flavored cat food

y $=$ # of bags of salmon$-$flavored cat food

Flag question: Question $1$

Question $12$ pts

In the problem above, the number of constraints $($not including the non$-$negativity constraint$)$ is:

Group of answer choices

Three $(3)$

Five $(5)$

Four $(4)$

Six $(6)$

Flag question: Question $2$

Question $22$ pts

If the addition of a constraint to this linear programming problem does not change the solution, the constraint is said to be

Group of answer choices

non$-$negative

unbounded

infeasible

redundant

Flag question: Question $3$

Question $32$ pts

In the problem above, which of the following is a non$-$negativity constraint?

Group of answer choices

x$,$ y $=0$

x $+$ y $>=0$

x$,$ y $<=0$

x$,$ y $>=0$

Flag question: Question $4$

Question $42$ pts

Which of the following is not one of the steps in formulating this linear programming problem?

Group of answer choices

Specify the objective function and constraints

Always calculate the alternative optimal solution

Define the decision variables

Determine the optimal solution

Flag question: Question $5$

Question $52$ pts

In the above problem, the objective is to

Group of answer choices

Maximize profit

Minimize cost

Maximize sales

Maximize profit and sales