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snow_tiger [21]
3 years ago
8

ANSWER PLZ QUICK AND FAST

Mathematics
1 answer:
fomenos3 years ago
5 0

To find out how many Salmon Filet's were served, knowing that 80% of the specials were Salmon Filet, and there were a total of 70 specials in total, we need to find what 80 percent of 70 is. That's because that will lead us to our answer.

Since a percent is something over 100 (per 100), 80% is 80/100 which simplifies to 4/5. That means that we have to multiply 70 by 4/5. 70 * 4/5 is equal to 280/5. Since 280/5 equal 56, there were 56 Salmon Filet's served, or C.

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54,927

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3 years ago
The manager of a company uses the function shown to model the company’s daily profit based on the price of a product in dollars,
just olya [345]

Answer: 1) The minimum price, in dollars, to avoid a loss = 22,

2) the maximum price in dollars , to avoid a loss = 53,

3) The price that results the maximum profit = 37.5 dollars

Step-by-step explanation:

Since the given function that shows the total profit,

f(x) = (x-22)(53-x)

Where x is the price of the product.

Since for avoiding the loss,

f(x) \geq 0,

⇒ (x-22)(53-x)\geq 0

If (x-22)\geq 0 \implies x\geq 22

If 53 - x \geq 0 \implies 53 \geq x

Thus, 53 ≥ x ≥ 22,

Therefore, the minimum price to avoid the loss = $ 22

And, the minimum price to avoid the loss = $ 53

f'(x) =\frac{d}{dx}[(x-22)(53-x)] = (x-22)\frac{d}{dx} (53-x)+(53-x) \frac{d}{dx}(x-22)

⇒ f'(x) = - (x-22)+(53-x) = -x+22+53-x =-2x+75

Now, For maximum or minimum,

f'(x) = 0,

⇒ -2x+75 = 0

⇒ -2x = -75

⇒ x = 37.5

f''(x) = \frac{d}{dx}(-2x+75)=-1

For x = 37.5, f''(x) is negative,

Thus, For the price of $ 37.5 dollars the company has the greatest profit.



4 0
3 years ago
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