Mathematics, 19.07.2021 06:30 miracle9704

How do I solve this problem?

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Answer from: randall10

9514 1404 393

see attached

Step-by-step explanation:

Short to solve this problem, follow directions.

a. Write the inequalities

Let c and p represent numbers of cakes and pies produced daily. Then the constraints are ...

2c +3p ≤ 108 . . . . . . . . available hours of preparation time

1c +0.5p ≤ 20 . . . . . . . available hours of decoration time

p ≥ 0, c ≥ 0 . . . . . . . . . negative numbers of cakes or pies cannot be produced

b. Sketch the feasible region

It works well to let a graphing calculator do this.

The feasible region is the doubly-shaded area with vertices ...

(0, 0), (0, 36), (3, 34), (20, 0)

c. Write the profit function

Profit is $25 per cake and $12 per pie, so is ...

p = 25c +12p

d. Determine maximum profit

The attached table shows the profit for the various mixes of cakes and pies in the feasible region. The most profit is had by production of cakes only.

The maximum profit is $500 per day for production of 20 cakes.

_____

Additional comment

We have used x for cakes and y for pies in the attachment, because those are variables that the Desmos calculator prefers.

As is sometimes the case, the production point giving maximum profit leaves one of the resources (preparation time) only partially utilized.

Answer from: Quest

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.

Answer from: Quest

table 3 represents a direct variation function. : )

Which table represents a direct variation function?

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