i need the linear program conditions, not the acural solution. cannot use solver

Problem 2. Speranza Pasta Company is a small business making trays of lasagne and of cannelloni that are sold frozen at local speciality stores. During any one month, the company has the capacity to make up to 65 trays of pasta. Costs for some of their imported ingredients are known to fluctuato, but from past experience, can be well estimated a few months in advance. The estimated costs per tray and demand for pastas ordered from stores in the area over the next 3 months are shown in the table below. It costs 50 cents to hold a tray of lasagne and 40 cents to hold a tray of cannelloni in the freezer for one month. Formulate an LP model to determine how to minimize the company's costs in meeting the demand over the next 3 months. Month 1 Month 2 Month 3 Pasta Demand Cost per Demand Cost per Demand Cost per Type (Trays) Tray ($) (Trays) Tray (8) (Trays) Tray ($) Lasagne 40 $3.00 30 $3.40 20 $3.80 Cannelloni 20 $2.50 30 $2.80 10 $3.40