Electro Company manufactures an innovative automobile transmission for electric cars. Management
predicts that ending finished goods inventory for the first quarter will be 52,200 units. The following unit
sales of the transmissions are expected during the rest of the year: second quarter, 261,000 units: third
quarter, 492,000 units, and fourth quarter, 406,500 units. Company policy calls for the ending finished
goods inventory of a quarter to equal 20% of the next quarter's budgeted sales.
Prepare a production budget for both the second and third quarters that shows the number of
transmissions to manufacture.

Farnesene is a sesquiterpene. how many different isomers arising from double-bond isomerizations are possible? g

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Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.