Jack and Becker $($Ltd$)$ have two popular items that they produce and sell. The information below

applies to these items:

Required:

By means of the application of linear programming techniques $($Show all workings. Round your

answers to two decimal places, where applicable$)$:

Q$\mathrm{.}2\mathrm{.}1$ Determine the objective function.

Q$\mathrm{.}2\mathrm{.}2$ Compute the linear constraints and determine the optimal product mix.

Q$\mathrm{.}2\mathrm{.}3$ Solve for the objective function using the optimal product mix calculated in Q$\mathrm{.}2\mathrm{.}2$

above.