The system of equations y = one-fourth x minus 1 and y = negative one-half x minus one-fourth is shown on the graph below. What is a reasonable estimate for the solution?
A (1, negative three-fourths)
B(Negative three-fourths, 1)
C (Negative 1, three-fourths)
D(Three-fourths, negative 1)

360/29

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

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