Tomball Co$.$ manufactures two chair models, Standard and Premium. Weekly demand isestimated to be $150$ units of the Standard Model, $100$ units of the Premium Model, and $75$ unitsof the Deluxe Model. Only $750$ machine hours are available per week. The following per unitdata apply: StandardPremiumDeluxeMaximum demand $($in units$)15010075$Current production $($in units$)1005050$Contribution margin per unit$$16$$$24$$$35$Number of machine hours required$245$Required: Please answer all the following questions, and show your works and computations to get full credits. a$.$ What is the contribution margin per machine hour for each model? b$.$ What is the total contribution margin at the current level of production for each model?c$.$ Given maximum capacity of $750$ machine hours, how many machine hours would you recommend of each model to maximize weekly production profits? How many units of each model?d$.$ If there is no limit for machine hours available per week $($instead of only $750$ machine hour per week$),$ how many chairs of each model should Katy produce to maximize profits?