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serious [3.7K]
3 years ago
9

2 1/2 ÷1/2= what is this answer

Mathematics
1 answer:
xeze [42]3 years ago
8 0

Answer:

5

Step-by-step explanation:

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A company estimates that it can sell 3,000 units each month of its product if it prices each unit at $80. However, its monthly n
slamgirl [31]

9514 1404 393

Answer:

  • 5290 units
  • $57.10 per unit
  • $279,591 profit

Step-by-step explanation:

For price p, the quantity q of units sold is said to be ...

  q = 3000 +10(80-p)/0.10 . . . . for price in dollars

Then the revenue will be ...

  r(p) = p·q = p(3000 +100(80-p)) = 100p(110 -p)

The cost is said to be ...

  c(q) = 250 +4.20q

  c(p) = 250 +4.20(100(110 -p)) = 250 +420(110 -p)

Then the profit function is ...

  P(p) = r(p) -c(p)

  P(p) = 100p(110 -p) -(250 +420(110 -p)) = (110 -p)(100p -420) -250

__

Ignoring the vertical offset of -250, the quadratic has zeros at 110 and 4.2. So, its line of symmetry (and vertex) will be found at ...

  p = (110 +4.2)/2 = 57.1 . . . . dollars per unit

The quantity that should be produced at that price is ...

  q(57.1) = 100(110 -57.1) = 5290 . . . . units produced

The profit at that price is ...

  P(57.1) = (110 -57.1)(100·57.1 -420) -250 = 52.9(5290) -250

  = $279,591 . . . . best profit

_____

<em>Additional comment</em>

After you have seen a few of these, you can write down the revenue function based on the rate of change of units sold.

If p is the price of a unit, then 80-p is the number of dollars of decrease in price for a price of p. Then (80 -p)/0.10 is the number of 10¢ decreases in price. The increase in units sold is 10 times this, or 10(80 -p)/0.10 = 100(80 -p). When that is added to 3000 units sold, the total is ...

  3000 +100(80 -p) = 3000 +8000 -100p

  = 11000 -100p = 100(110 -p) . . . . . quantity sold at price p

Revenue is the product of price times the number of units sold at that price.

Profit is the difference between revenue and cost.

6 0
2 years ago
Can someone please explain this
balu736 [363]

Answer:

11) is a

12) all answers are incorrect just put b

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Jon is decorating a panner for a parade. Jon uses a piece of red ribbon witch is 3 4ths yard long. Jon also needs blue ribbon th
SVEN [57.7K]

Answer:

John needs 3\frac{3}{4}  yards of blue ribbon.

Step-by-step explanation:

We have been given that Jon uses a piece of red ribbon witch is 3/4th yard long. Jon also needs blue ribbon that is 5 times as long as the ribbon. We are asked to find the amount of blue ribbon that John needs.

To find the amount of blue ribbon that John needs, we will multiply amount of red ribbon by 5 as shown below:

\text{Amount of blue ribbon}=5\times \frac{3}{4}

\text{Amount of blue ribbon}=\frac{5\times 3}{4}

\text{Amount of blue ribbon}=\frac{15}{4}

\text{Amount of blue ribbon}=3\frac{3}{4}

Therefore, John needs 3\frac{3}{4}  yards of blue ribbon.

8 0
3 years ago
Addison paid $1.59 for gum and $1.29 for a package of notebook paper. She gave the cashier a $5 bill. If the tax was $0.14, how
Neko [114]

Answer:

$2.68

Step-by-step explanation:

7 0
3 years ago
Thuy rolls a number cube 7 times. which expression represents the probability of rolling a 4 exactly 2 times?
Nady [450]
The result of rolling a number cube 7 times is a 7-digit number composed of digits 1,2,3,4,5 and 6 so that digits can repeat. The total number of possibilities is 6^7.

The number of possibilities where 4 appears exactly two times is 5^5*(7!-6!/2).
 5^5 is the number of 5-digits numbers composed of digits 1,2,3,5 and 6 so that digits can repeat.
7! is the number of permutations of digits 1,2,3,4,4,5 and 6.
6! is the number of permutations of digits 1,2,3,{4,4},5 and 6.
We don't want to subtract all numbers where digits 4 appear side by side. That's why we must divide 6! by 2.

Finally, the probability is P=5^5(7!-6!/2)/7^7
6 0
3 years ago
Read 2 more answers
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