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2 years ago

Royal lawncare company produces and sells two packaged products

1 answer:

7 0

Royal Lawncare Company produces and sells two packaged products. Weedban and Greengrow. Revenue and cost information relating to the products follow: Product Weedban Greengrow Selling price per unit $ 11.00 $ 36.00 Variable expenses per unit $ 3.00 $ 14.00 Traceable fixed expenses per year $ 136.000 $ 31.000 Common fixed expenses in the company total $96.000 annually. Last year the company produced and sold 37.000 units of Weedban and 15.500 units of Greengrow. Required: Prepare a contribution format income statement segmented by product lines. Product Line Total Company Weedban Greengrow Sales Variable expenses Contribution margin Traceable fixed expenses Product line segment margin Common fixed expenses not traceable to products Net operating income

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A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

$A_1 = \pi*radius^2/2$

$A_1 = \pi*(w/2)^2/2$

$A_1 = \pi/8*w^2$

And the area of the rectangle is:

$A_2 = w*x$

If the perimeter of the window is 41 feet, we have:

$Perimeter = length + 2*width + \pi*radius$

$41 = x + 2*w + \pi*w/2$

$x = 41 - w(2 + \pi/2)$

Now, the equation for the total area of the window is:

$A = A_1 + A_2 = \pi/8*w^2 + w*x$

$A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))$

$A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w$

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

$x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45$

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

$A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2$

3 0

3 years ago

Help i have 25 minutes to turn in

Zielflug [23.3K]

5/1? Im not sure if i am right

7 0

2 years ago

A concession stand at a baseball game sells 3 apples for $2.00. How can you find the cost for 10 apples?

nataly862011 [7]

3 divided by 2 = 1.50
1.50×10=15

6 0

3 years ago

What is 8.7% of 5300? Round to the nearest hundredth.

ASHA 777 [7]

Answer:

Step-by-step explanation:

8.7% of 5300 is 461.1

Rounding up to the nearest hundredth gives your answer as

500

4 0

3 years ago

An average person in the United States throws away 4.5 × 10² g of trash per day. In 2013, there were about 3.2×1063.2×106 people

Mashcka [7]

Well, Since every 1 person throws away 4.5 × 10² g trash each day (365 days in each year), You would times 3.2×1063.2×106 by the 4.5 × 10² g to get how much trash was thrown away each day and then times that by 365 to figure how much trash was thrown away the entire year

8 0

2 years ago