The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. the second equation gives the cost of making x baseball caps. y = 8x y = -0.01 x2 + 4x + 3,200 the solution of the system is (400, 3,200). how would you interpret this solution?

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:

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 =

Any company will have objective to minimize the cost

Consider the profit equation P = income - cost

i.e. P(x) =

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.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

cant open file sorry!

step-by-step explanation: