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Page history last edited by PBworks 17 years, 11 months ago

Problem 3 of 3


A store in Kenora, Ontario sells items that are tax free, items that have a 7% GST charge on the base price, and items that have both a 7% GST and an 8% PST charge on the base price. A weekend's sales, before tax, can be represented by Matrix S.


(a) What does the matrix represent?


(b) What does the matrix represent?


(c) What does the matrix (S + 0.07A + 0.08B) represent?


(d) Write a matrix to represent the total tax collected. Briefly explain how you constructed this matrix.


(e) New budgets change the tax rates to 5% for GST and 12% for PST. Write a matrix for the total taxes collected in this new situation. Briefly explain how you contructed this matrix.




(a) Matrix A represents the items that were sold on a weekend's sale, that had been taxed.



(b) Matrix B represents items sold with both GST and PST.



(c) (S + 0.07A + 0.08B) represents the total of items sold including taxes.






I constructed the resultant matrix that represented the total tax collected by multiplying 0.07 to matrix A, then I added that to a scalar multipication of matrix B multiplied by 0.08. 0.07 represents the GST tax and 0.08 represented the PST tax for each matrix.


(e) New tax rates to 5% for GST and 12% for PST.



I constructed the resultant matrix with the new tax rates changes by taking matrix A and multiplying it by the new GST which is 5%, then I added it to matrix B which was multiplied by the new PST which is 12%. With the resultant matrix I got the new total of taxes collected with the new tax rate changes.








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