What are three major inventions in the textile industry and what did each one specifically do to increase productivity?.

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.

Aproperty title search firm is contemplating using online software to increase its search productivity. currently an average of 40 minutes is needed to do a title search. the researcher cost is $2 per minute. clients are charged a fee of $400. company a's software would reduce the average search time by 10 minutes, at a cost of $3.50 per search. company b's software would reduce the average search time by 12 minutes at a cost of $3.60 per search. which option would have the higher productivity in terms of revenue per dollar of input?

In a transportation minimization problem, the negative improvement index associated with a cell indicates that reallocating units to that cell would lower costs.truefalse