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Alenkasestr [34]
3 years ago
12

A firm producing socks has a fixed cost of $20,000 and variable cost of $2 per pair of socks. Let x = the number of pairs of soc

ks. Find the break-even point if the socks sell for $4.50 per pair.
Mathematics
1 answer:
svetoff [14.1K]3 years ago
3 0

Answer:

break even point = 8000 socks produced or $36000 in costs

Step-by-step explanation:

the cost function of the firm is

total cost = fixed cost + variable cost = $20000 + $2*Q

where Q= number of socks

the revenue from sales is

sales = Price* Q = $4.50*Q

the break even point is reached when the net profit is = 0 ( that is, the total cost is equal to the revenue from sales) , then

total cost = sales

$20000 + $2*Q =$4.50*Q

Q= $20000/($4.50-$2) = 8000 socks

that represents

total cost = $20000 + $2*8000  = $36000

then

break even point = 8000 socks produced or $36000 in costs

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Reflection: the object is reflected (or "flipped") across a line of reflection, which might be the x-axis, y-axis, or some other line. Dilation: the object stays the same shape, but is either stretched to become larger (an "enlargement") or shrunk to become smaller (a "reduction").
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Simplify (x ^2 y)^3. x 2y 3, x 5 y 3, x 6 y 3^
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Answer:

x^6 y^3

Step-by-step explanation:

(x ^2 y)^3

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x^2^3 * y^3

We know that a^b^c = a^(b*c)

x^(2*3) y^3

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8 0
3 years ago
On the road trip, the speed limit changed to 50 miles per hour in a construction zone. Traffic moved along at a constant rate (5
navik [9.2K]

Answer:

d= 12.50 miles

Step-by-step explanation:

Kinematic equation of uniform motion (constant speed) :

v= d/t  Formula (1)

v: velocity in miles per hour (mph)

d: distance in miles

t: time in hours

Data

v= 50 mph

t= 0.25 hours

Problem development

We replace data in formula (1)

50 mph=d/0.25 hour

50 \frac{miles}{hour} = \frac{d}{0.25 hour}

d= 50\frac{miles}{hour} *0.25 hour

d= 12.5 miles

d= 12.50 miles

5 0
3 years ago
What is the result when the number 16 is increased by 5.9%? Round your answer to the nearest tenth
Mashutka [201]
16*1.059)=16.944
To the nearest tenth 16.9
6 0
3 years ago
Read 2 more answers
A middle schooler took all the 6th grader on a field trip to see ballet. The students filled up 570 seats, which was 95% of the
Musya8 [376]

The total  number of seats in the theater is 600 seats, if the students filled up 570 seats, which was 95% of the total number of seats in the theater.

Step-by-step explanation:

The given is,

                 Seats filled by students are 570 seats

                 Which is 95% of the total number of seats in the theater

Step: 1

                Let, x - Total number of seats available in theater

                Percentage of seats filled, y= 95%

                Seats filled by students = 570

                Formula to calculate total number of seats in theater,

                          95% of seats  = \frac{95}{100}( x)    

                                         570 = 0.95 (x)

                                              x = \frac{570}{0.95}

                                                 = 600

                                              x = 600 seats

Step: 2

            Check for solution,

                            5% of seats  = \frac{5}{100} (600)

                                                  = (0.05 × 600)

                                                  = 30 seats

                    Total no. of seats = 5% of seats  + 95% of seats

                                                  = 30 + 570

                                         600 = 600

Result:

           The total  number of seats in the theater is 600 seats.

7 0
3 years ago
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