Skooter's Skateboards produces two models of skateboards, the FX and the ZX. Skateboard revenue (in $l000s) 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 two labor-hours to paint, and each ZX requires three labor-hours. Formulate this nonlinear production planning problem to determine how many FX and ZX skateboards should be produced per week at Scooter's.
What will be an ideal response?
FX = number of FX skateboards to produce per week
ZX = number of ZX skateboards to produce per week
Max 5FX ? 0.2FX 2 + 7ZX ? 0.3ZX 2
s.t. 2FX + 3ZX ? 80
FX, ZX ? 0
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Indicate whether the statement is true or false