Answer:
(a) Profit function P(x) = 0.02x^2+60x-80
(b) Average profit P(x)/x = P/x = 0.02x+60-80/x
Marginal profit dP/dx = 0.04x+60
Step-by-step explanation:
Cost function: C(x) = -0.02x^2+40x+80
Price function: p(x) = 100
(a) The profit function P(x) = x*p(x)-C(x) can be expressed as:

(b)Average profit function: P(x)/x

Marginal profit function: dP/dx

Answer:
10Oz = 7 , 14Oz = 16, 20 OZ = 6
Step-by-step explanation:
There three equations that can be made here based on given data
Let number of 10 Oz cup be x
Let number of 14 Oz cup be y
Let number of 20 Oz cube be z
we can see that
x+y+z=29 ----- (i)
.95x + 1.15y + 1.5z = 34.05 ---- (ii)
10x+ 14y + 20z = 414 ---- (iiI)
We can solve these equations together to get the value of x and y and z (Done through calculator 3 variable equation function)
x= 7
y=16
z=6
Solution:
we are given with
Today the price of a Jeep is $25,000. In 1970, the price was $5,000.
So we can write
The price of a Jeep, today = $25,000
The price of a Jeep,in 1970 = $ 5,000
Relative Price means price of a good relative to other. Its a ratio of the two goods times 100.

Hence the price relative is $500/-
Answer:
Width of the arch = 105 m
Step-by-step explanation:
Function representing the width of the arch,
f(x) = -0.016(x - 52.5)² + 45
where x = width of the base of the arch or horizontal distance from arch's left end
f(x) = vertical distance of the arch
From the given quadratic function, vertex of the parabola is (52.5, 45).
Coordinates of the vertex represents,
Height of the arch = 45 m
Half of the horizontal distance from the left end = 52.5 m
Therefore, width of the bridge = 2(Half the width of the bridge from left end) = 2×52.5
= 105 m
Therefore, given bridge is 105 m wide.
Answer:
The equivalent expression is
A is correct
Step-by-step explanation:
We are given two complex number and need to multiply it. To find equivalent fraction.

Using Binomial product property: (a+b)(c+d)=ab+ad+bc+bd



Combine the like term and simplify

Hence, The equivalent expression is