Question

The coordinates of your vertices should be (0.0), (0, 150); (150, 75); and (210, 0). Plug these vertices into the maximum Profit equation P=1.2.1 + y to determine how many pints of each sauce you should make and what your maximum profit will be.How many pints of each type of hot sauce should you make? (?) pints of Kickin' Hot Sauce and (?) pints of Scorchin Hot Sauce. What will your maximum profit be? ($?)

Answer 1

Answer

The number of pints of each sauce that will give the maximum profit include

150 pints of Kickin' Hot Sauce and 75 pints of Scorchin' Hot Sauce.

The maximum profit = $255

Explanation

The profit equation is

P = 1.2x + y

where x and y represent the number of pints of each sauce that should be made.

We are then asked to test a number of coordinates on the profits equation to select the combination that gives the biggest profit.

(0, 0)

x = 0, y = 0

P = 1.2x + y

= 1.2 (0) + 0

= 0 + 0

= $0

(0, 150)

x = 0, y = 150

P = 1.2x + y

= 1.2 (0) + 150

= 0 + 150

= $150

(150, 75)

x = 150, y = 75

P = 1.2x + y

= 1.2 (150) + 75

= 180 + 75

= $255

(210, 0)

x = 210, y = 0

P = 1.2x + y

= 1.2 (210) + 0

= 252 + 0

= $252

We can easily see that the combination that gives the maximum profit ($255) is (150, 75).

Hope this Helps!!!