16.07.2021

a company’s daily profit , in hundreds of dollars, is given
by P(x) = -x^2+ 10x - 9 , where x is the number of items
produced each day. How many items must be produced to
maximize profit?

. 9

Step-by-step answer

24.02.2022, solved by verified expert
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The profit function of the company is :

P(x) = -x² + 10x - 9

Here x is number of items produced each day.

Firstly, we will take the first derivative and equate it to 0 to find x :

P'(x) = d/dx(-x² + 10x - 9)

0 = -2x + 10

2x = 10

So, x = 5

Now, for maximum profit at x = 5, P"(x) should be negative.

Thus,

P"(x) = d/dx(-2x + 10)

So, P"(x) = -2 which represents maximum profit.

Therefore, for maximum profit, the number of items that must be produced is 5.

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Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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