Question 2 26 pts 0.10 0.20 0.15 A sudden increase in the demand for smoke detectors has left Acme Alarms with insufficient capacity to meet demand. The company has seen monthly demand from its retailers for its electronic and battery-operated detectors rise to at least 20,000 and 10,000, respectively. Acme's production process involves three departments: fabrication, assembly, and shipping. The relevant quantitative data on production and prices are summarized as follows. Monthly Hours Hours/Unit Hours/Unity Department Available (Electronic) (Battery) Fabrication 2,000 0.15 Assembly 4,200 0.20 Shipping 2,500 0.10 Variable cost/Unit $18.80 $16.00 Retail price $29.50 $28.00 The company also has the option to obtain additional units from a subcontractor, who has offered to supply up to 20,000 units per month in any combination of electric and battery- operated models, at a charge of $21.50 per unit. For this price, the subcontractor will produce and ship its models directly to the retailers without using Acme's production process. Let B = number of battery-operated smoke detectors that are obtained by i E = number of electronic smoke detectors that are obtained by i, where i = M (for manufacturing) and P (for purchasing from supplier) Formulate the LP model using the decision variables defined. No grade if you make up your own variables! Formulate the complete LP model. Do NOT Simplify. The variables must be in their correct form, with the correct subscripts for any credit