Your answer should be based around diagram$($s$)$ but they may include some supporting

maths.

$1.$ Consider a situation in which the vectors f and g have strictly positive components:

f$1,$ f$2,$ g$1,$ g$2>0.$ Show that it can be optimal for the principal to offer a contract$/$job

in which one of the tasks e$1$ or e$2$ is blocked $($forced to zero$).$ We are thinking here

that effort levels are still non contractible but it is possible to detect if any of a task

is undertaken, or there is some way to modify the workplace to prohibit that task.

$2.$ What is a real world example of these kinds of multitask problems? Explain your

answer and offer solutions as appropriate.