An electrical engineer supervises the production of three types of electrical components. Three kinds of material-metal, plastic, and rubberare required for production. The amounts needed to produce each component are Component Metal, Plastic, Rubber, (g/component) (g/component) (g/component) 1 15 0.30 1.0 2 17 0.40 1.2 3 19 0.55 1.5 If totals of 3.89, 0.095, and 0.282 kg of metal, plastic, and rubber, respectively, are available each day, how many components can be produced per day? a. Solve using Matrix inverse algorithm. b. If the manager requires increasing the quantity of the second component by 100 units, how much should be the daily metal supply in grams? Determine how many units of component 3 will be produced per day if the daily available metal and rubber increased by 145 grams and 6 grams respectively? c. An electrical engineer supervises the production of three types of electrical components. Three kinds of material-metal, plastic, and rubberare required for production. The amounts needed to produce each component are Component Metal, Plastic, Rubber, (g/component) (g/component) (g/component) 1 15 0.30 1.0 2 17 0.40 1.2 3 19 0.55 1.5 If totals of 3.89, 0.095, and 0.282 kg of metal, plastic, and rubber, respectively, are available each day, how many components can be produced per day? a. Solve using Matrix inverse algorithm. b. If the manager requires increasing the quantity of the second component by 100 units, how much should be the daily metal supply in grams? Determine how many units of component 3 will be produced per day if the daily available metal and rubber increased by 145 grams and 6 grams respectively? c