Asalesperson earns $350.25 per week plus 12% of her weekly sales. which of the following describes the sales necessary for the salesperson to earn at least $800.50 in one week? a. x ≥ 800.50b. x ≥ 54.03c. x ≥ 450.25d. x ≥ 3752.08

step-by-step explanation:

most likely the answer is a.

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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