The area of a square quilt is 289 square inches. There is a smaller square patch on the quilt with an area of 121 square inches.
2 answers:
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Answer:
<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>
Step-by-step explanation:
Cost, Revenue, and Profit Function
The cost function C(x) is given by
where x is the number of produced products.
The revenue function is
With both equations, we can know the profit function as
For the firm to have positive profits, it has to produce x articles with the condition
Or, equivalently
Solving for x
Thus
This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production
Answer
(a)
(b)
Step-by-step explanation:
(a) δ(t)
where δ(t) = unit impulse function
The Laplace transform of function f(t) is given as:
where a = ∞
=>
where d(t) = δ(t)
=>
Integrating, we have:
=>
Inputting the boundary conditions t = a = ∞, t = 0:
(b)
The Laplace transform of function f(t) is given as:
Integrating, we have:
Inputting the boundary condition, t = a = ∞, t = 0: