Quantitative Methods Answers

I have a set of 600 broken solar cells. Each will be able to produce a fraction of the power from a whole solar cell mostly based on its surface area. So each cell will have a power production value somewhere between .5 and 1.0 of a whole solar cell. I need a way to take this set of values and create optimized subsets of three to six cells so that each subset produces about the same total power. I want to match these subsets as closely as possible with the cells available. As this will maximize the power produced by all the cells in combination.

The Towne Food Corporation has bought exclusive rights to sell chocolate bars in a local sports arena. The fee it paid for this concession was $1,000 per game. The cost (excluding this fee) of obtaining and marketing each candy bar is 10 cents. The demand schedule for candy bars in this arena is as follows:
Price per candy bar Thousands sold
(cents) per game
20 10
25 9
30 8
35 7
40 6
45 5
50 4
Assume that prices must be a multiple of a nickel.
a) What price should the Towne Corp. charge for a candy bar?
b) What is the maximum amount that they should pay for the concession for a

I have an equation BG(T) = BG(t) + AxC(t) - BxD(t), where BG(t), C(t) and D(t) are known at time t, A and B are constants and I am trying to forecast BG(T). A and B are not known with 100 % accuracy. Example: A is 3.0 plus or minus 0.05 and B is 2.0 plus or minus 0.05. Given the confidence interval in A and the confidence interval in B, how would I calculate the confidence interval of BG(T) ? If possible can I have an answer assuming the constants are i) independent and ii) not independent of each other. Thanks, Mark

find the regression Equation Y=a+bx and draw the line corresponding to the equation on the scatter diagram by using the following data. Observation are 1,2,3,4,5,&6 ,Corresponding Test score X are 65,70,73,82,90,&60 and corresponding Expenditure(in Rs.) Y are 100,120,150,300,350,&90.

The regression coefficient of X on Y is 2.5 the regression coefficient of Y on X is 0.85.Are the above two statements consistent?