PTP produces two products from different combinations

need some assistance clear explaination and working.PTP produces two products from different combinations of the same resources. Details of the selling price and costs per unit for each product are shown below:Product EProduct M$$Selling price175125Material A ($12 per kg)6024Material B ($5 per kg)1015Labour ($20 per hour)4020Variable overhead ($7 per machine hour)1428The fixed costs of the company are $50,000 per month.PTP aims to maximise profits from production and sales. The production plan for June is currently under consideration.The following resources are available in June:Material A 4,800kgMaterial B 3,900kgLabour 2,500 hoursMachine hours 5,000 hoursRequired:(a)(i) Identify the objective function and the constraints to be used in a linear programming model to determine the optimum production plan for June.(3 marks)The solution to the linear programming model shows that the only binding constraints in June are those for Material A and Material B.(ii) Produce, using simultaneous equations, the optimum production plan and resulting profit for June. (You are NOT required to draw or sketch a graph.)(5 marks)Based on the optimal production plan for June, the management accountant at PTP has determined that the shadow price for Material A is $7 per kg.(b) Explain the meaning of the shadow price for Material A.(2 marks)(Total for Question Five = 10 marks)