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chubhunter [2.5K]
2 years ago
11

A craftsman can sell 20 jewelry sets for $600 each. He knows that for each additional set he makes, the price of each set will d

ecrease by $10. How many jewelry sets should he make if he wants to maximize his earnings?
Mathematics
2 answers:
Mumz [18]2 years ago
5 0

Answer:

40 jewelry sets

Step-by-step explanation:

Step 1: assign variables

x = additional # of sets

total # of sets = 20 + x

price = 600 - 10x

Step 2: make an equation

f(x) = (20 + x)(600 - 10x)

Step 3: find x intercepts

0 = (20 + x)(600 - 10x)

x = -20,  x=60

Step 4: find the midpoint/average of x intercepts

(60 - 20) / 2 = 20

Step 5: plug it into the "total # of sets" equation

20 + 20 = 40

40 jewelry sets!

Nesterboy [21]2 years ago
4 0

Answer:

40 sets

Step-by-step explanation:

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<h3>Answer:  n = -11</h3>

The other choices are false, so choice C is the only solution here.

==================================================

Explanation:

Draw a number line. You'll have 0 in the center, with positive values on the right. The positive values increase 1,2,3,4,... as you move from left to right.

The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...

See the diagram below.

Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.

With that in mind, the answer is n = -11 since -11 is to the left of -7. Of the values in the answer choices, it's the only thing to the left of -7.

The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.

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3 years ago
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
OverLord2011 [107]

Answer:

x = ¾-a

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x + a = ¾

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Answer:

As x approaches ∞, y approaches -∞

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Step-by-step explanation:

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As x approaches ∞, y approaches -∞

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Braxton loves downloading new music he originally had 41 songs but plans to purchase 4 new songs each week. he wants to know how
ycow [4]

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