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A suburban newsagent is asked to collect data about the number of four popular daily newspapers that he sells in his shop on weekdays. The number of each paper sold and the daily taking are recorded for Monday to Thursday of the first week: Newspaper Takings ($) A B C D Weekday Mon 123 108 48 12 348.00 Tue 136 b 43 15 377.60 Wed 115 133 36 11 345.30 Thur 145 128 45 18 405.50 Unfortunately, the number of newspaper B sold on Tuesday, b, was lost. (a) (i) Write the number of each paper sold for the four days as a 4 × 4 matrix, P. (ii) Write the takings for the four days as a column matrix, Q. (b) If newspaper A costs $1.20, newspaper B costs $1.00, newspaper C costs $1.30 and newspaper D Costs $2.50 write a suitable matrix X, representing the cost of each of the newspapers. (c) Using matrix equation PX=Q to find the missing figure b; the number of newspaper B sold on Tuesday. Show all working.
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