Question

4. Jenny's Bakery makes two types of birthday cakes: yellow cake, which
sells for $25, and strawberry cake, which sells for $35. Both cakes are the
same size, but the decorating and assembly time required for the yellow
cake is 2 hours, while the time is 3 hours for the strawberry cake. There
are 450 hours of labor available for production. How many of each type
of cake should be made to maximize revenue? Use linear programming.
Explain each step.​

Answer 1

Answer:

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Step-by-step explanation:

Revenue is maximum at x=25 and y=0. That is when the firm makes only yellow cakes and no strawberry cakes.

Explanation:

x- Number of Yellow cakes

y- Number of Strawberry cakes

Time constrain is given by

2x+3y\leq 450

x\geq 0

y\geq 0

Revenue is given by,

TR= 25x + 35y

At the vertices, revenue is

At (0,0)

TR = $0

At (0,150)

TR = 25(0) + 35(150) = $5,250

At (225,0)

TR = 25(225) + 35(0) = $5,625

Therefore, Revenue is maximum at x=25 and y=0. That is when the firm makes only yellow cakes and no strawberry cakes.