At a certain company, the annual winter party is always held on the second of friday

The latest possible date is December, 14th.

Step-by-step explanation:

Notice that the second Friday of December is n+7, where n is the date for the first Friday of December. So, the latest the first Friday, the latest the second. As the weeks have seven days, the first Friday will be between 1st and 7th of each month. So, the latest first Friday will be 7th. Therefore, the latest second Friday will be 14th.

$5300

Step-by-step explanation:

Pounds of food produced - - - - - - profit($)

100 - - - - - - - - - - - - - - - - - - - - (- 11,000)

250 - - - - - - - - - - - - - - - - - - - - - 0

500 - - - - - - - - - - - - - - - - - - - - 10,300

650 - - - - - - - - - - - - - - - - - - - - 11,500

800 - - - - - - - - - - - - - - - - - - - - 9,075

Using the quadratic regression calculator, with a general form of equation:

y=Ax^2+Bx+C

y = 0.0186x^2 - 11.3241x + 8422.2857

With the equation obtained, we can estimate the profit when 350 pounds of food are produced.

Here, x = 350

y = - 0.0817x2 + 102.2355x - 20420.955

y = - 0.0817(350)^2 + 102.2355(350) - 20420.955

y = - 10008.25 + 35782.425 - 20420.955

y = $5353.22