Answer:
Amy should produce 2 pitchers to maximize profit and the maximum profit will be $18.
Step-by-step explanation:
Amy can produce china pitchers at a cost of $3 each.
She estimates the price function that can be represented by
p = 20 - 4x
Let she sells the number of x pitchers in a week.
Then the selling price of x pitchers will be = $x(20 - 4x)
Cost price of x pitchers = $3x
Profit (P) = Selling price - Cost price
= x(20 - 4x) - 3x
= 20x - 4x²- 3x
= 17x - 4x²
To maximize the profit,
P' = 17 - 8x = 0
8x = 17
x = 2.125
x ≈ 2
Therefore, 2 pitchers should be produced.
Profit = 17x - 4x²
= 17(2) - 4(2)²
= 34 - 16
= $18
Answer:
x = -7, y = 5
Step-by-step explanation:
a) x + 9y = 38, b) 3x + 7y = 14
From a)
x = 38 - 9y ---- (Equation 1)
From b)
{3*(38 - 9y)} + 7y = 14 ----- (From equation 1)
114 - 27y + 7y -14 = 0
100 - 20y = 0
20y = 100
y = 5
From a)
x + (9*5) = 38 (substituting the value of y = 5)
x + 45 = 38
x = 38 - 45
x = -7
Hope, this will help
Answer:
39 inches.
858 inches²
Step-by-step explanation:
Length:- (if length = x)
2 ( 11 + x ) = 100
22 + 2x = 100
2x = 100 - 22
2x = 78
x = 78 ÷ 2
x = 39 inches
Area:-
Area = l × b
= 39 × 22
= 858 inches²
Ill give u one its B because 6x where x is the price and 2 is the price for the kids meal and it needs to stay less than $32
It’s the first one, seven (7)