The PENTEL Corporation manufactures three different types of computer chips.

Each type of chip requires different amounts of processing time in three different

departments as summarized in the following table.

The total profit for each type of chip may be described as follows:

Chip A profit $=-0\mathrm{.}35A^2+8\mathrm{.}3A+540$

Chip B profit $=-0\mathrm{.}60B^2+9\mathrm{.}45B+1108$

Chip C profit $=-0\mathrm{.}47C^2+11\mathrm{.}0C+850$

where A$,$ B and C represent the number of chips produced in $100s.$

a$.$ Formulate an NLP model for this problem.

b$.$ Implement your model in a spreadsheet and solve it$.$

c$.$ What is the optimal solution?