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Kay [80]
3 years ago
11

The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie sold. Each cookie sells for $.95. How many cooki

es must be sold during one month for the profit to be at least $100?
Mathematics
1 answer:
anygoal [31]3 years ago
7 0

Answer: the number of cookies sold must be greater than or equal to 800

Step-by-step explanation:

Let x represent the number of cookies made and sold in a month.

The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie. This means that the total cost of producing x cookies in a month would be

300 + 0.45x

Each cookie sells for $.95. This means that the total revenue from selling x cookies would be

0.95x

Profit = Revenue - cost

Therefore, the number of cookies that must be sold during one month for the profit to be at least $100 would be

0.95x - (300 + 0.45x) ≥ 100

0.95x - 300 - 0.45x ≥ 100

0.95x - 0.45x ≥ 100 + 300

0.95x - 0.45x ≥ 100 + 300

0.5x ≥ 400

x ≥ 400/0.5

x ≥ 800

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Helena gave the answer as (7y²z + 6yz²- 5 - 3yz² + 2) which is equivalent to (7y²z + 3yz² - 3).

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Can someone help me the 2nd problem I don’t understand it
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Answer:

So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.

270 miles

Step-by-step explanation:

So is A is going faster than B so A will reach the destination first.

When will A reach it's destination?

Let's find out.

To solve this problem, the following will come in handy:

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It will take 2.\overline{6} more hours than bus A for bus B to complete a distance of 390 miles.

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So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.

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