Answer: a) C = 0.126x + 1.5
b) C = 2.382 c) approximately 179 units
Step-by-step explanation: profit P(x), total revenue R(x) and total cost (C) are related by the formulae below.
Profit = total revenue - total cost
P(x) = R(x) - C
From the question, P(x) = 0.084x - 1.5, R(x) = 0.21x.
Question a)
C = R(x) - P(x)
C = 0.21x - {0.084x - 1.5}
C = 0.21x - 0.084x + 1.5
C = 0.126x + 1.5
Question b)
If C = 0.126x + 1.5, then C at x = 7 units is gotten below as
C = 0.126(7) + 1.5
C = 0.882 + 1.5
C = 2.382.
Question c)
The break even point is the point where total revenue R(x) equals total cost C.
R(x) = 0.21x and C = 0.126x + 1.5
0.21x = 0.126x + 1.5
0.21x - 0.126x = 1.5
0.084x = 15
x = 15/ 0.084
x = 178.57 which is approximately 179 units (since quantity of units can't be decimal)
Answer:
Area:80mi^2
Perimeter:40mi
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step-by-step explanation:
<u>Given</u>: √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
<u>Asked</u>: Find the value of x = ?
<u>Solution:</u> Given that √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
⇛√{1 + (2/3)} = (0.6)²⁻³ˣ
⇛√{(1/1) + (2/3) = (0.6)²⁻³ˣ
⇛√{(1*3 + 2*1)/3} = (0.6)²⁻³ˣ
⇛√{(3 + 2)/3} = (0.6)²⁻³ˣ
⇛√(5/3) = (0.6)²⁻³ˣ
Squaring on both sides then
⇛{√(5/3)}² = {(0.6)²⁻³ˣ}²
⇛√(5²/3²) = {0.6}(²⁻³ˣ)²
⇛√{(5*5)/(3*3)} = {0.6}(²⁻³ˣ)²
⇛5/3 = {0.6}(²⁻³ˣ)²
[ (aᵐ)ⁿ = aᵐⁿ]
⇛5/3 = (0.6)²*²⁻³ˣ*²
⇛5/3 = (0.6)⁴⁻⁶ˣ
⇛5/3 = (6/10)⁴⁻⁶ˣ
⇛5/3 = {(6÷2)/(10÷2)})⁴⁻⁶ˣ
⇛5/3 = (3/5)⁴⁻⁶ˣ
⇛(3/5))⁻¹ = (3/5)⁴⁻⁶ˣ
[ a⁻ⁿ = 1/aⁿ]
Base are the same, so the exponents must be equal.
-1 = 4 - 6x
Shift the number 4 from RHS to LHS, changing it's sign.
⇛-1 - 4 = -6x
⇛-5 = -6x
⇛x = {(-5)/(-6)}
x = 5/6
<u>Answer</u><u>:</u> Hence, the value of x for the given problem is 5/6.
<u>also </u><u>read </u><u>similar </u><u>questions</u><u>:</u> (1/3)^-2 + (1/4)^-2 = (125)^x Find the value of x? brainly.com/question/25746379?referrer
(3^-2 × 4^-2)^-3 = 12^x In the given expression find the value of x. brainly.com/question/25746273?referrer