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Snowcat [4.5K]
3 years ago
7

Suppose that for a certain company ​C(x)=35x+300,000 represents the total cost​ function, and ​R(x)=75x represents the total rev

enue function. Find the​ total-profit function and​ break-even point.
Which of the following functions represents the​ total-profit function?
A) 40x-300,000
B) 40x+300,000
C) 110x+300,000
Mathematics
1 answer:
enyata [817]3 years ago
4 0

Answer:

40x - 300,000

7,500

Step-by-step explanation:

profit  = revenue - cost

p(x) = 75x - (35x + 300,000)

p(x) = 40x - 300,000

Break even is when profit is zero

40x - 300,000 = 0

40x = 300,000

x = 7,500

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Which graph represents viable values for y = 5.5x, where x is the number of cans of tomato paste and y is the total weight of th
Brilliant_brown [7]

Answer:

On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. Solid circles appear at points (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5)

Step-by-step explanation:

The first graph is not correct because you cannot sell or buy, for example 1.1, cans of tomato.

The second graph is correct because x is discrete variable, that is, it only take values like 1, 2, 3, etc.

The third and fourth graphs are not correct because you cannot sell or buy negative cans of tomatoes.

6 0
3 years ago
Read 2 more answers
Find the angle between the hands of a clock at 5:15<br><br> A 60<br> B 67.5<br> C 75
Viktor [21]

Answer:

Option B is correct.

67.5 degree

Step-by-step explanation:

To find the angle between the hands of a clock.

Given that:

Hands of a clock at 5 : 15.

We know that:

A clock is a circle and it always contains 360 degree.

Since, there are 60 minutes on a clock.

\frac{360^{\circ}}{60 minutes} = 6^{\circ} per minutes

so,  each minute is 6 degree.

The minutes hand on the clock will point at 15 minute,

then, its position on the clock is:

(15) \cdot 6^{\circ} = 90^{\circ}

Also, there are 12 hours on the clock

⇒Each hour is 30 degree.

Now, can calculate where the hour hand at 5:00 clock.

⇒5 \cdot 30 =150^{\circ}

Since, the hours hand is between 5 and 6 and we are looking for 5:15 then :

15 minutes is equal to \frac{1}{4} of an hour

⇒150+\frac{1}{4}(30) = 150+7.5 = 157.5^{\circ}

Then the angle between two hands of clock:

⇒\theta = 150.75 -90 = 67.5^{\circ}

Therefore, the angle between the hands of a clock at 5: 15 is: 67.5 degree.

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3 years ago
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