Respuesta :
Answer:
Step-by-step explanation:
Given that company's income for selling x baseball caps is
y=8x. this implies that selling price per baseball cap= 8 dollars.
Next is given the cost equation
y = [tex]-0.01x^2+4x+3200[/tex]
Any company will have objective to minimize the cost
Consider the profit equation P = income - cost
i.e. P(x) = [tex]8x+0.01x^2-4x-3200[/tex]
It is that of a parabola.
x intercept is when P =0
x = 400 or -1000
x cannot be negative
Hence for x =400, profit =0
and income = 8(400) = 3200
SO solution of the system is (400,3200)
When 400 units are produced and sold the company makes zero profit, and if units go beyond 400 units profit would be earned.
Answer:
The solution of the system is the point where the graphs intersect, or have the same x and y values. This means that the company's cost to produce 400 caps is the same as the income made from selling 400 caps. Therefore, the company will not make a profit.
The cost to produce 400 caps is the same as the income made from selling 400 caps.
The company will break even when it sells 400 caps; it will not make a profit.
Step-by-step explanation:
