Paulie's opportunity cost of producing a cup of ice cream is 4 T-shirts while Vinny's opportunity cost (C) of producing a t-shirt is 0.53
<h3>How to calculate the opportunity cost</h3>
The table entries are given as:
Ice Cream (cups) T-shirts (quantity)
Paulie 5.00 20.00
Vinny 8.00 15.00
Paulie's opportunity cost of producing a cup of ice cream is calculated by dividing the number of T-shirts by the cups of ice cream.
So, we have:
Similarly, Vinny's opportunity cost (C) of producing a t-shirt is calculated by dividing the cups of ice cream by the number of T-shirts
So, we have:
Hence, Vinny's opportunity cost (C) of producing a t-shirt is 0.53
Read more about opportunity costs at:
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Answer:
8 π or
25.13 unit^3 to the nearest hundredth.
Step-by-step explanation:
(A)
The height of the shell is (2 + x - x^2) and the radius is (2 - x).
V = 2π ∫(2 - x)(x + 2 - x^2) dx between the limits x = 0 and x = 2.
= 2π ∫ (2x + 4 - 2x^2 - x^2 - 2x + x^3) dx
= 2π ∫ (x^3 - 3x^2 + 4 ) dx
= 2π [ x^4/4 - x^3 + 4x ] between x = 0 and x = 2
= 2 π [4 - 8 + 8 )
= 2 π * 4
= 8π
= 25.13 unit^3 to the nearest hundredth.
Answer:
Step-by-step explanation:
x= -1 or x=3
Answer:
<h2>
y = -4/9</h2>
Step-by-step explanation:
Given the system of equations y = 3/2 x − 6, y = −9/2 x + 21, since both expressions are functions of y, we will equate both of them to find the variable x;
3/2 x − 6 = −9/2 x + 21,
Cross multiplying;
3(2x+21) = -9(2x-6)
6x+63 = -18x+54
collecting the like terms;
6x+18x = 54-63
24x = -9
x = -9/24
x = -3/8
To get the value of y, we will substitute x = -3/8 into any of the given equation. Using the first equation;
y = 3/2x-6
y = 3/{2(-3/8)-6}
y = 3/{(-3/4-6)}
y = 3/{(-3-24)/4}
y = 3/(-27/4)
y = 3 * -4/27
y = -4/9
Hence, the value of y is -4/9
Answer:
2
Step-by-step explanation:
