Ram, Shyam and Moha purchased biscuits of different brands P, Q and
R. Ram purchased 10 packets of P, 7
of Q and 3 packets of R. Shyam
purchased 4 packets of P, 8 packets
of Q and 10 packets of R. Mohan
purchased 4 packets of P, 7 packets
of Q and 8 packets of R. If brand P
costs € 4, Q costs € 5 and R costs € 6
each, then using matrix operation,
find the amount of money spent by
these persons individually.​

What impact did the economic opportunities in pennsylvania and new york have on virginia? a. virginia planters started to migrate to new york. b. new yorkers began buying up cheap virginia real estate. c. virginians found themselves resorting increasingly to slavery. d. virginians loosened their slave laws to attract more migrants.

Electronics assembly inc. is a contract manufacturer that assembles consumer electronics for a number of companies. currently, the operations manager is assessing the capacity requirements as input into a bid for a job to assemble cell phones for a major global company. the company would assemble three models of cell phones in the same assembly cell. setup time between the phones is negligible. electronics assembly inc. operates two 8-hour shifts for 275 days per year. cell phone demand forecast (phones/year) processing time (minutes/phone) mars 47,000 19.8 saturn 35,000 20.7 neptune 7,500 16.2 a. calculate total capacity required by line. b. determine the total operating time available. c. calculate the total number of assembly cells. (round up your answer to the next whole number.)

Stocks a, b, and c are similar in some respects: each has an expected return of 10% and a standard deviation of 25%. stocks a and b have returns that are independent of one another; i.e., their correlation coefficient, r, equals zero. stocks a and c have returns that are negatively correlated with one another; i.e., r is less than 0. portfolio ab is a portfolio with half of its money invested in stock a and half in stock b. portfolio ac is a portfolio with half of its money invested in stock a and half invested in stock c. which of the following statements is correct? a. portfolio ab has a standard deviation that is greater than 25%.b. portfolio ac has an expected return that is less than 10%.c. portfolio ac has a standard deviation that is less than 25%.d. portfolio ab has a standard deviation that is equal to 25%.e. portfolio ac has an expected return that is greater than 25%.