A newsstand will display exactly one copy each of six different magazines— M, O, P, S, T, and V— in a single row on a rack. Each magazine will occupy exactly one of the six positions, numbered consecutively 1 through 6. The magazines must be displayed in accordance with the following rules:
Either P or else T occupies position 1.
Either S or else T occupies position 6.
M and O, not necessarily in that order, occupy consecutively numbered positions.
V and T, not necessarily in that order, occupy consecutively numbered positions.
A circus has seven fenced enclosures, numbered 1 through 7, for two animals: a lion and a tiger. Each enclosure is connected to adjacent enclosures by interior gates. There are exactly eight such gates, each connecting one enclosure to exactly one other enclosure: enclosure 1 is connected to enclosures 2, 3 and 4; enclosure 3 to enclosures 1, 2, 4, and 5; and enclosure 5 to enclosures 3, 6, and 7. These gates provide the only connections between enclosures. Occasionally a trainer moves the animals. Taking either animals from one enclosure to an adjacent enclosure through a gate is called a "transfer."
The following conditions are strictly observed:
The two animals cannot be together in any enclosure or gate.
Transfers cannot occur simultaneously In moving either one animal or both to a specified enclosure or enclosures, the minimum number of trans- fers needed to achieve the specified result are used.
One pen costs \(\$\)0.25 and one marker costs \(\$\)0.35. At those prices, what is the total cost of 18 pens and 100 markers?