A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out
the maximum amount of profit the company can make, to the nearest dollar.
y=-3x2 + 197x –
1279

$1954

Step-by-step explanation:

Given the profit function expressed as;

y=-3x^2 + 197x – 1279

The profit is at maximum when dy/dx = 0

dy/dx = -6x + 197

0 = -6x+197

6x = 197

x = 197/6

x = 32.83

substitute 32.83 into the modeled function

y=-3x^2 + 197x – 1279

y -3(32.83)²+197(32.83) - 1279

y = -3(1,078.03)+6,467.51 - 1279

y = -3,234.09+6,467.51-1279

y = 1,954.42

hence the maximum amount of profit the company can make, to the nearest dollar is $1954

0.84 dang lotta people are looking for this lol or if you round up its 1 but the overall answer to that is 0.84

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: