#
Question :
9.Skooter's Skateboards produces two models of skateboards, the FX and : 1825501

9.Skooter's Skateboards produces two models of skateboards, the FX and the ZX. Skateboard revenue (in $l,000s) for the firm is nonlinear and is stated as (number of FXs)(5 ? 0.2 number of FXs) + (number of ZXs)(7 ? 0.3 number of ZXs). Skooter's has 80 labor-hours available per week in its paint shop. Each FX requires 2 labor-hours to paint and each ZX requires 3 labor-hours. Formulate this nonlinear production planning problem to determine how many FX and ZX skateboards should be produced per week at Scooter's.

10.Native Customs sells two popular styles of hand-sewn footwear: a sandal and a moccasin. The cost to make a pair of sandals is $18, and the cost to make a pair of moccasins is $24. The demand for these two items is sensitive to the price, and historical data indicate that the monthly demands are given by *S = *400 ? 10*P*_{1} and *M = *450 ? 15*P*_{2 }, where *S *= demand for sandals (in pairs), *M* = demand for moccasins (in pairs), *P*_{1} = price for a pair of sandals, and *P*_{2}* = *price for a pair of moccasins. To remain competitive, Native Customs must limit the price (per pair) to no more than $60 and $75 for its sandals and moccasins, respectively. Formulate this nonlinear programming problem to find the optimal production quantities and prices for sandals and moccasins that maximize total monthly profit.