1a) An appliance manufacturer produces two models of microwave ovens: the super nuker and the Micro-1000. Both models require fabrication and assembly work. The super nuker requires 4 hours of fabrication and 2 hours of assembly. The Micro-1000 requires 2 hours of manufacturing and 6 hours of assembly. There are 800 fabrication hours and 620 hours for assembly available this week. Each super nuker contributes $45 to profit and each Micro-1000 contributes $37 to profit. What quantities of super nukers and Micro-1000's will maximize profit? How much profit will the manufacturer realize?

1b) Suppose the manufacturer introduces another model: the WAVE. This model requires 3 hours of fabrication and 3.5 hours of assembly. In addition, this model contributes $43 to profit. We would like to produce at least 30 Micro-1000's and no more than 125 Super-Nuker's. How would the profits change, assuming the conditions from the previous problem are in effect? Report the optimal quantities to give this profit as well as 1 other interesting fact.