The minimum production cost of company 2 is greater than the minimum production cost of company 1. We arrived at this value by comparing the production cost of both companies.
<h3>What is meant by minimum production cost?</h3>
The overall cost incurred by a company to manufacture a product or provide services is known as the cost of production.
The objective of every company is to keep this cost at minimum, hence the minimum production cost.
<h3>How do find minimum Production Cost?</h3>
Recall that the production function is given as:
f(x) = 0.25x² - 8x + 600
Inserting the values given by the schedule we have
- f(6) = 0.25(6²) - 8(6) + 600 = 561
- f(8) = 0.25(8²) - 8(8) + 600 = 552
- f(10) = 0.25(10²) - 8(10) + 600 = 545
- f(12) = 0.25(12²) - 8(12) + 600 = 540
- f(14) = 0.25(14²) - 8(14) + 600 = 537
For company 2, we are given the various production costs as;
x - g(x)
6 - 862.2
8 - 856.8
10 - 855
12 - 856.8
14 - 862.2
Juxtaposing the above, we can infer that the minimum production cost of company 2 is greater than the minimum production cost of company 1.
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These basic properties are vital to the survival of life. Water's polarity and surface tension makes it a powerful solvent for sugars, amino acids, and proteins; water can easily hold and transport substances necessary for life within and outside of living things.
Answer:
60 sec.
Explanation:
The first person has to travel 200m at 2 m/s. It will take him 200/2=100 seconds to reach the gate. The second person is moving towards the gate at 2 + 3 meters per second so it will take her 200/5 = 40 seconds to reach the gate. Therefore, person #1 needs an extra 100-40 = 60 seconds.
The volume of HCl gas required to prepare the solution is 101.54 L
<h3>How to determine the mole of HCl </h3>
- Volume of solution = 1.25 L
- Molarity = 3.20 M
- Mole of HCl =?
Mole = Molarity x Volume
Mole of HCl = 3.2 × 1.25
Mole of HCl = 4 moles
<h3>How to determine the volume of HCl </h3>
- Number of mole (n) = 4 moles
- Temperature (T) = 30 °C = 30 + 273 = 303 K
- Pressure (P) = 745 torr = 745 / 760 = 0.98 atm
- Gas constant (R) = 0.0821 atm.L/Kmol
Using the ideal gas equation, the volume of the HCl gas can be obtained as follow:
PV = nRT
Divide both side by P
V = nRT / P
V = (4 × 0.0821 × 303) / 0.98
V = 101.54 L
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Answer:
119.24
Explanation:
Step 1: We make the assumption that 369 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=36.
Step 4: In the same vein, x% = 440.
Step 5: This gives us a pair of simple equations:100%=369(1) 440(2) = x%
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS(left hand side) of both equations have the same unit (%); we have 100%/x% = 369/440
Step 7: Taking the inverse (or reciprocal) of both sides yields x%/100% = 440/369
Therefore, 440 is 119.24% of 369.
