c) A student wishes to allocate her available study time of 60 hours per week between two subjects in such a way as to maximize her grade average. She formulates two functions governing the grades of each module which can be taken as: 9₁(t₁) = 20 + 20√₁, with t₁ > 0 and 92 (t₂) = -80 + 3t₂, with t₂ > 80/3 maximize the grade average subject to the time constraint t₁ + t₂ = 60. You do not need to show that you have obtained a maximum.

A company that produces cellular phones analyzes its production and finds that the profit P (in dollars) on the sale of the phones is approximated by the function: P(x)=-0.2x2+460x-25,000 where x is the number of phones produced each month. How many phones per month should be made so as to maximize profit? And what is the maximum profit?

Suppose demand is given by p = 1600 − x. Find the maximum revenue.

2.(16) where g is the annual quantity of bales (in thousands) produced by the plant. Revenue was estimated at 5 64 per bale of cotton. Find the following (but be cautious and play close attention to the units):