2. A restaurant sells two sizes of pizza, small and large. The restaurant owner knows that, each evening, she needs to make

• at least 85 pizzas in total
• at least twice as many large pizzas as small pizzas

In addition, at most \(80 \%\) of the pizzas must be large.
Each small pizza costs \(\pounds 2\) to make and each large pizza costs \(\pounds 3\) to make.
The restaurant owner wants to minimise her costs. Let \(x\) represent the number of small pizzas made each evening and let \(y\) represent the number of large pizzas made each evening. Formulate the information above as a linear programming problem. State the objective and list the constraints as simplified inequalities with integer coefficients. You should not attempt to solve the problem.