Suppose you wish to survey 16000 square degrees of the sky to some limiting brig

Question

Suppose you wish to survey 16000 square degrees of the sky to some limiting
brightness as fast as possible, but necessarily within some budgetary constraints.
Further suppose that the cost of telescopes ~ (diameter of the primary mirror)2.5 and
that the cost of a wide-field camera ~ (field of view)3 x (diameter of primary mirror)1.5. For comparison, the costs of a 2m telescope and a camera on that telescope with a field-of-view of 4°x4° are roughly equal. Restrict your choices to 2m, 4m, and 8m diameter telescopes and camera field-of-view to 1°x1°, 2°x 2°, 4°x 4°, and 8°x8°.

What is the optimal (lowest product of cost and time-to-completion) choice for this survey? (Note: there is no need to restrict yourself to a single telescope+camera combination).

Explanation / Answer

2mm telescope with camera as it can vieq field view of 4X4 1X1 2X2 4X4 can be viewed normally 8X8 can can be viewed in 4 quadrants so 2mm telescope with camera is the cheapest way

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