Question 4 (12 Marks) A garden shop wishes to prepare a supply of special fertilizer at a minimal cost by mixing two fertilizers, A and B. The mixture is to contain: \\( \\checkmark \\) at least 45 units of phosphate \\( \\checkmark \\) at least 36 units of nitrate \\( \\checkmark \\) at least 40 units of ammonium Fertilizer A costs the shop \\( \\$ .97 \\) per kg. Fertilizer B costs the shop \\( \\$ 1.89 \\) per kg. A kg of fertilizer A contains 5 units of phosphate and 2 units of nitrate and 2 units of ammonium. A kg of fertilizer B contains 3 units of phosphate and 3 units of nitrate and 5 units of ammonium. Solver answer and sensitivity reports reproduced below. Required: a) Formulate the linear program for this problem? (6 Marks) b) How many kg of each fertilizer should the shop use in order to minimize their cost? (2 Marks) c) What is the shadow price and why is it important? (2 Marks) d) What does the \"allowable increase\" of 0.29 for fertilizer \"A\" mean? (2 Marks)