Keep in mind that we're framing it based on what the first sentence says, which is "If the cost of a competing factor of production, such as a machine that also could do the job, rises".
So if the cost of getting a machine part, various parts, or the entire machine cost rises, then demand for the machine will go down. This will make employers seek out substitutes. In this case, those substitutes would be human labor. As employers demand for labor goes up, the wages will rise assuming the supply of workers is held constant. If the supply of workers increased, then you could argue the wages could go down. So that's why I'm assuming the supply is held in check.
Answer:
The maximum profit of $ 10277.32____ can be made when the selling price of the dog food is set to $ _34___ per bag.
Step-by-step explanation:
Profit = Revenue - Cost
P(x) = R(x) -C(x)
= -31.72x^2 + 2,030x
-( -126.96x + 26,391)
Distribute the minus sign
= -31.72x^2 + 2,030x+126.96x - 26,391
Combine like terms
= -31.72 x^2 + 2156.96 x - 26391
This is a parabola. It is facing downwards. The maximum profits is at the vertex ( where the max is)
vertex = h = -b/2a = -(2156.96)/(2*-31.72) = -2156.96/-63.44=34
Evaluate P(x) at x=34 to determine the profit
P(34) = -31.72 (34)^2 + 2156.96 (34) - 26391
-36668.32+73336.64-26391
10277.32
The angles of a triangle always equal to 180 degrees.
Knowing this, you can solve this by this equation
Angle A + Angle B + Angle C = 180
43 + 85 + Angle C = 180
Angle C = 180 - 43 - 85
Angle C = 52
The amount of heat lost by the water is 1870 calories
Step-by-step explanation:
The amount of heat released by a substance is given by the equation

where
Q is the amount of heat lost
m is the mass of the substance
C is the specific heat capacity of the substance
is its change in temperature
In this problem, we have:
m = 85 g is the mass of water
is the specific heat capacity of water
is the change in temperature of the water
Substituting, we find

Learn more about heat:
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Answer:
Step-by-step explanation:
,
(3.75,-5.47)