Answer:
The dimensions are 1 m × 1 m × 5 m
Explanation:
Let the dimension be x, y, z
Volume = xyz = 5 m³ ................(1)
According to question:
Cost function, C = 110(xy) + 30(xy) + 14(2xz+2yz)
or
C = 140xy + 28xz + 28yz ..........(2)
We need to maximise (2)
Given condition (1)
Using the concept of lagranges multipliers
...........(3)
...........(4)
...........(5)
From (3) and (4) and(5)
140xy + 28xz = 140xy + 28yz = 28xz + 28yz
thus,
140xy + 28xz = 140xy + 28yz
or
28xz = 28 yz
or
x = y ............(a)
140xy + 28yz = 28xz + 28yz
substituting x from (a)
140(y)y + 28yz = 28(y)z + 28yz
or
140y² = 28yz
or
5y = z
and,
volume = 5 m³
or
xyz = 5 m³
or
x(x)(5y) = 5 m³
or
x²(5x) = 5 m³
or
5x³ = 5 m³
or
x = 1 m
Hence,
y = x = 1 m
and,
z = 5y = 5(1) = 5 m
Therefore,
The dimensions are 1 m × 1 m × 5 m
Answer:
Current ratio for 2022: 0.311
Current ratio for 2021: 0.231
Explanation:
The current ratio is a liquidity ratio that indicates a company's ability to pay its current liabilities when they come due. The current ratio is calculated by the following formula:
Current Ratio = Total Current Assets/Total Current Liabilities
In Bob Evans Farms:
Current ratio for 2022 = $80,200/$257,500 = 0.311
Current ratio for 2021 = $71,809/$311,100 = 0.231
Answer: Rachel should produce pie and Joey should produce bread.
Explanation:
Rachel can make 1 loaf of bread in 2 hours and 1 pie in 1 hour. Therefore, Rachel can take less time to produce 1 pie as compared to 1 loaf of bread, as a result she should produce pie.
Joey can make 1 loaf of bread in 4 hours and 1 pie in 4 hours. Therefore, Joey can take same time for producing either pie or bread. But he has only one option to produce bread.
So, Rachel is specialized in producing pie and Joey is specialized in producing bread in order to maximize their combined output.
High formal is something that I've never heard of throughout my time at work and internships.
I'd go with that one.
The answer to the question is D. Economics is all of the above. Economics is a social sciences that illustrate the cycle of goods and services from production, distribution to consumption. It is a study of behavior of human behavior and human produce valuable commodities.