kyal_taylah

I have had a mental block please help.

A firm has a work force of 21 men and produces 2 different types of equipment.

Product A

Limited to a maximum of 150 units per day

Requires 6 man days to produce 100 units

Has a profit of $18,000 per 100

Product B

Limited to a maximum of 200 units per day

Requires 9 man days to produce 100 units

Has a profit of $24,000 per 100 units

Formulate the constraints

production units (x) 9 11 14 15 16 20 21 25 32 38

total costs (y) 132 157 196 208 221 272 285 335 424 501

there are two possible least squares regression lines which can be fitted to the data set

Y On X Y=a+bX

X On Y X= a+bY

Explain how to identify the correct alternative.

please help, thanks

Determination of constants C and n using a least squares technique

The results from a steady state building test will give a dataset comprising of building differential pressures (ΔPenv) and corresponding fan flow rates (Q). There are a number of curve fitting approximations available to produce a best-fit line between these points. The most straightforward of these is the least squares approximation. For this, the straight line

y = mx + b should be fitted through the given points (x1, y1),….,(xn , yn) so that the sum of the squares of the distances of those points from the straight line is minimum, where the distance is measured in the vertical direction (the y-direction). The airflow rates and corresponding pressure differences are plotted on a log-log graph for pressurisation are as required.The calculation of the factors m and b for a given pressurisation test are as follows:-

dSumXY = Σ( In ΔPenv * In Qc)

dSumXX = Σ( In ΔPenv * In ΔPenv)

dSumX = Σ(In ΔPenv)

dSumY= Σ(In Qc)