a company plans to sell a new type of vacuum cleaner for $280 each. the companys financial planner estimates…

a company plans to sell a new type of vacuum cleaner for $280 each. the companys financial planner estimates that the cost, y, of manufacturing the vacuum cleaners is a quadratic function with a y - intercept of 11,000 and a vertex of (500, 24,000). which system of equations can be used to determine how many vacuums must be sold for the company to make a profit?\n\n\\(\\begin{cases}y = 280x\\y=-0.052(x - 500)^2+24,000\\end{cases}\\)\n\n\\(\\begin{cases}y = 280x\\y = 0.052x^2+11,000\\end{cases}\\)\n\n\\(\\begin{cases}y = 280x\\y = 0.052(x - 500)^2+24,000\\end{cases}\\)\n\n\\(\\begin{cases}y = 280x\\y=-0.052(x - 500)^2+11,000\\end{cases}\\)

a company plans to sell a new type of vacuum cleaner for $280 each. the companys financial planner estimates that the cost, y, of manufacturing the vacuum cleaners is a quadratic function with a y - intercept of 11,000 and a vertex of (500, 24,000). which system of equations can be used to determine how many vacuums must be sold for the company to make a profit?\n\n\\(\\begin{cases}y = 280x\\y=-0.052(x - 500)^2+24,000\\end{cases}\\)\n\n\\(\\begin{cases}y = 280x\\y = 0.052x^2+11,000\\end{cases}\\)\n\n\\(\\begin{cases}y = 280x\\y = 0.052(x - 500)^2+24,000\\end{cases}\\)\n\n\\(\\begin{cases}y = 280x\\y=-0.052(x - 500)^2+11,000\\end{cases}\\)

Answer

Answer:

A. (\begin{cases}y = 280x\y=-0.052(x - 500)^{2}+24000\end{cases})