A company has determined that when x hundred dulcimers are built, the average cost per dulcimer can be estimated by C(x)=0.3x^(2)-2.7x+7.775, where C(x) is hundreds of dollars. What is the mimimum average cst per dulcimer and how many dulcimers should be built to achieve that minimum?

4.5 hundreds dulcimers should be build to achieve the minimum  average cost per dulcimer $ 1.7 hundreds.

Step-by-step explanation:

The average cost per dulcimer can be estimated by

C(x)=0.3x² -2.7x+7.775

where C(x) is hundreds of dollar, x hundred dulcimers are built.

C(x)=0.3x² -2.7x+7.775

Differentiating with respect to x

C'(x)=0.6x-2.7

Again differentiating with respect to x

C''(x)=0.6

For maximum or minimum C'(x)=0

0.6x-2.7=0

⇒0.6x=27

⇒ x= 4.5

Now

Since at x= 4.5 , C''(x)>0, So, the average cost per dulcimer is minimum.

C(4.5)= 0.3(4.5)²-2.7×4.5 +7.775×

        =1.7

4.5 hundreds dulcimers should be build to achieve the minimum  average cost per dulcimer $ 1.7 hundreds.

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

the highest percentage for deaths in construction from highest to lowest is as follows: falls, struck by objects, electrocution, and caught-in/between. these four are collectively known as fatal four.

in the case of falls, the type that is responsible for the overall highest death in the category is falls from roofs.