A rectangle has perimeter 10 units. This gives you the constraint equation b+h= 10. You want to determine the dimension of the rectangle with the greatest area A = bh. Which of the following is the objective function written in terms of a single variable? OA = b(b – 10) A = 106 – b² O A = b(10 – b) %3D A = h(10 – h) b 10–6 OA= 10-h h None of the above options are correct.

You have $37,000 you would like to invest in two different stocks, Stock Boll and Stock Coff. The buying limit on Stock Coff is $12,900 and you want to spend at least two times as much money on Stock Boll as Stock Coff. If Stock Boll earns 5% annual interest and Stock Coff earns 4% annual interest, how much money (in dollars) should you invest in each stock to maximize your annual interest earned? What is the maximum annual interest (in dollars)? You will earn a maximum total annual interest of $   if you invest $   in Stock Boll and $   in Stock Coff.

You are designing a cylindrical barrel that can hold 16π m3 of crude oil. Find the radius r and heighth of the barrel that uses the least amount of material possible.(Hint: The surface area of a cylinder is S = 2πr2 + h(2πr), and its volume is V = πr2h.)(a) Draw a diagram representing this situation.(b) Write the objective and constraint functions.Objective:Constraint:(c) Use the constraint function to write the objective as a function of one variable.(d) Determine the radius and height for the absolute minimum surface area

Simplex method and elementary row of operations if necessary. Please show steps.