Skooter's Skateboards Produces Two Models of Skateboards, the FX and the ZX

question 42

Essay

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.

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Definitions:

Kansas-Nebraska Act

A 1854 law that created the territories of Kansas and Nebraska, allowing settlers in those territories to decide on the legality of slavery through popular sovereignty, leading to increased tensions that contributed to the American Civil War.

Charles Sumner

An American politician and senator known for his strong stance against slavery and his leadership in the anti-slavery movement before the Civil War.

Preston Brooks

A pro-slavery Congressman from South Carolina known for his violent attack on abolitionist Senator Charles Sumner in 1856.