Given:
- Outer diameter = D = 80 ft
- Inner diameter = d = 40 ft
So,
Outer radius = R = D/2
=> R = (80 ft)/2
=> R = 40 ft
Inner radius = r = d/2
=> r = (40 ft)/2
=> r = 20 ft
Area of paved pathway = πR² - πr²
= π(R² - r²)
= π(R + r)(R - r)
= π(40 + 20)(40 - 20) ft²
= π(60)(20) ft²
= 3.14 * 1200 ft²
= 3768 ft²
What is the value of x in this diagram?
Please help
Answer:
Demand is Elastic when Price > 200 ; Demand is inelastic when Price < 200
Step-by-step explanation:
p = 400 - 4x
4x = 400 - p
x = (400 - p) / 4 → x = 100 - p/4
Elasticity of demand [ P ed ] = (Δx / Δp) x (p / x)
Δx / Δp [Differentiating x w.r.t p] = 0 - 1/4 → = -1/4
P ed = <u>-1</u> x<u> p </u>
4 (400 - p)/4
= <u>-1</u> x <u> 4p </u> = -p / (400-p)
4 (400 - p)
Price Elasticity of demand : only magnitude is considered, negative sign is ignored (due to negative price demand relationship as per law of demand).
So, Ped = p / (400 - p)
Demand is Elastic when P.ed > 1
p / (400-p) > 1
p > 400 - p
p + p > 400 → 2p > 400
p > 400 / 2 → p > 200
Demand is inelastic when P.ed < 1
p / (400-p) < 1
p < 400 - p
p + p < 400 → 2p < 400
p < 400 / 2 → p < 200
