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Andrej [43]
3 years ago
14

The unit cost, in dollars, to produce bins of cat food is $4 and the fixed cost is $18424. The revenue function, in dollars, is

R(x)=−2x^2+478x
Find the cost function.
C(x)=
Find the profit function.
P(x)=
At what quantity is the smallest break-even point?
Mathematics
1 answer:
Inessa [10]3 years ago
8 0

Answer:

49

Step-by-step explanation:

The cost function is the sum of the costs as a function of the number of bins made.

C(x) = 4x + 18424

The profit function is the difference between the revenue and the cost functions.

P(x) = R(x) - C(x)

P(x) = -2x^2 + 478x - (4x + 18424)

P(x) = -2x^2 + 474x - 18424

The smallest break-even point is the smallest value of x at which profit is zero. Zero profit means there is no gain and no loss.

P(x) = -2x^2 + 474x - 18424 = 0

x^2 - 237x + 9212 = 0

9212 = 2^2 * 7^2 * 47

(x - 188)(x - 49) = 0

x - 188 = 0 or x - 49 = 0

x = 188 or x = 49

Answer: 49

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What is the value of k in y = kx, if y = 12 when x = 24?
Brrunno [24]

Answer:

k = 0.5

Step-by-step explanation:

Substitue y = 12, x = 24 into y = kx.

12 = k × 24

24k = 12

k = 12 ÷ 24

k = 0.5 (final answer)

6 0
3 years ago
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3 years ago
Pls help <br>Lcm of 4 and 15? <br>least common multiple
kakasveta [241]
<h3>Answer:  60</h3>

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

Explanation:

Multiply the two values to get 4*15 = 60

Then divide by the GCF 1 to get 60/1 = 60. The GCF being 1 means the result hasn't changed.

------

Another example would be: "Find the LCM of 6 and 8". We would first do 6*8 = 48, then divide by the GCF 2 to get 48/2 = 24. The LCM of 6 and 8 is 24.

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lyudmila [28]

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7 0
3 years ago
Annie needs $30 to buy a coat she has saved $12 and plans to work as a baby siter to earn $6 per hour which inequality shows the
tekilochka [14]

Answer:

The answer would be B. 12 + 6n is greater than or equal to 30, so n is less than or equal to 3.

explanation:

I'm bad with explaining things, but I'll try my best to explain why this is the right answer.

12 + 6n ≥ 30, so n ≤ 3

let's start with the 12 at the beginning of the inequality, Annie already has $12, so the 12 in the inequality shows the amount of money she already has being added to the $6 per hour of babysitting she needs to do (n).

Now for the + 6n, the plus is there to show that the $12 Annie already has is being added to the 6n. The 6n then represents the $6 Annie makes each hour and the n represents how many hours she needs to babysit in order to get $30. The 6 is being multiplied by the amount of hours she needs to babysit to show how much money Annie would make. Then you add on the $12 she already has.

Annie then needs at least $30, but if she makes more than $30 then she will simply have more money than needed, therefore you use the greater than or equal to sign to show that she can have more money than just $30 after working.

I hope this helps, and sorry if my explanation is hard to understand lol.

6 0
3 years ago
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