need the linear program and not the solution. cannot use solver

Problem 3. A company can produce 1 unit of product C using a combination of 1 unit of input A and 2 units of input B. The company is planning its production for the next 6 months. 1 1. The demand for product in month t is de fort = 1,2,...,6. The company must meet its demand exactly, i.e, the amount of product C sold in month t is exactly dt (for t = 1,2,..., 6). 2. The per unit purchasing price for input A is pre in month (for t = 1,2,...,6). The per unit purchasing price for input B is q in month t (for t = 1,2,...,6). 3. The per unit cost of production of product C is in month 1 (for t = 1,2,...,6). 4. Inventory situation: The company can carry inventory of the inputs (ie, the company can purchase more input than required in a given month and store the inputs for use in a later month) and the product C it manufactures (ie, the company can manufacture more than demand and store it for later use). The per unit cost of storing inventory from montht to month + +1 of input A, input B and product C is a, b, ct respectively (for t = 1,2,...,5). Write a linear program to find an optimal production and inventory plan (that is a plan that minimizes the total cost of production and inventory) for the company