Answer:
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Step-by-step explanation: .7 IN 5 SECONDS
Answer:
<em>3.75x = 450 + 1.50x</em>
<em>They should sell 200 bags of popcorn to break even</em>
Step-by-step explanation:
<u>Business Modeling</u>
When modeling the operation of a business, there are some magnitudes that should be managed to properly control the profits of the business. Those magnitudes are Costs, Revenue, and Profits.
The profit is the difference between the costs and the revenue as follows:
P(x) = R(x) - C(x)
Where x is the number of units produced and sold.
The break-even level is the value of x that produces zero profits, i.e.,
R(x) = C(x)
The costs associated to sell popcorn consist of a fixed amount of $450 plus a variable cost of $1.50 for every popcorn. Thus the total cost function is:
C(x) = 450 + 1.50x
The income or revenue is the selling price times the number of popcorns:
R(x) = 3.75x
The break-even level can be calculated by solving the equation:
3.75x = 450 + 1.50x
Solving the equation:
3.75x - 1.50x = 450
2.25x = 450
x = 450/2.25
x = 200
They should sell 200 bags of popcorn to break even
Answer:
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The cube which has a greater side length according to the task content is; Cube B.
<h3>Which cube has a greater side length?</h3>
It follows from the task content that since cube A has a volume of 8 in³, it follows that its side length is;
s(A) = ³√8 = 2in.
Also, since one face of cube B has an area of 64 in², it follows that the side length is;
s = ²√64
s(B) = 8 in.
Hence, Cube B has the greater side length.
Read more on volume of a cube;
brainly.com/question/18762961
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84 + x + 59 x + 51 =180
2x + 194 = 180
2x + 194 - 194 = 180 - 194 (subtract both sides by 194)
2x = -14
2x/2 = -14/2 (divide both sides by 2)
x = -7
