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 = –2x2 + 105x – 773

The maximum profit will be: $605.125

Step-by-step explanation:

Given the function

The given equation is a quadratic function. It represents Parabola. The parabola opens down because of the negative leading coefficient (-2).

Thus, the maximum profit would be computed at the vertex of the graph.

Thus, we have to determine the value of y when x is the line of symmetry.

We can find this by the equation

x = -b/2a

where a = -2, b = 105

x = -105 / 2(-2)

x = -105 / -4

x = 105/4

x = 26.25

Now, putting x = 26.25 in the original function to find the value of 'y'.

Therefore, the maximum profit will be: $605.125

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

related questions

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )