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A catering business offers two sizes of baked ziti. Its small ziti dish uses 1 cup of sauce and
cups of cheese. Its large ziti
dish uses 2 cups of sauce and 3 cups of cheese. The business has 100 cups of sauce and 400 cups of cheese on hand. It
makes $6 profit on their small dishes and $5 profit on their large dishes. It wants to maximize the profit from selling the two
sizes of ziti. Let x represent the number of small dishes and y represent the number of large dishes.
What are the constraints for the problem?

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step-by-2step explanation:

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step-by-step explanation

2r= 2300

r =1150

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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move it to the other side

step-by-step explanation: