Tom es el gerente del departamento de delicatessen en una tienda de comestibles. Debe programar que los empleados trabajen en el departamento durante al menos 260 horas a la semana. Tom tiene un empleado a tiempo parcial que trabaja 20 horas a la semana. Cada empleado a tiempo completo trabaja 40 horas a la semana. Escriba una desigualdad para determinar nnn, el número de empleados a tiempo completo que Tom debe programar para que sus empleados trabajen al menos 260 horas a la semana.

Answer:

La desigualdad para determinar el número de empleados a tiempo completo que Tom debe programar para que sus empleados trabajen al menos 260 horas a la semana es 20+40*n ≥ 260. Resolviendo al menos 6 empleados deben trabajar a tiempo completo.

Step-by-step explanation:

Una inecuación es una desigualdad entre letras (incógnitas) y números relacionados por  operaciones aritméticas. Su conjunto solución es el conjunto de números reales que la satisfacen. En una desigualdad, dos expresiones algebraicas están conectadas a través de los signos: mayor que >, menor que <, menor o igual que ≤ y mayor o igual que ≥.

Tom tiene un empleado a tiempo parcial que trabaja 20 horas a la semana. Cada empleado a tiempo completo trabaja 40 horas a la semana. Tom debe programar para que sus empleados trabajen al menos 260 horas a la semana.

Sabiendo que x representa la cantidad de trabajadores a medio tiempo  y n la cantidad de trabajadores a  tiempo completo, entonces  20*x+40*n representa la cantidad de horas que todos los empleados trabajan semanalmente. Si los empleados trabajen al menos 260 horas a la semana, esto significa que la cantidad de horas que todos los empleados trabajan a la semana debe ser mayor o igual a 260 horas. Entonces:

20*x+40*n ≥ 260

Si Tom tiene un empleado a tiempo parcial, entonces la cantidad de trabajadores a medio tiempo x debe tener un valor de 1. Entonces:

20*1+40*n ≥ 260

20+40*n ≥ 260

40*n ≥ 260 -20

40*n ≥ 240

n ≥ 240 ÷40

n ≥ 6

Entonces 6 empleados o más deben trabajar a tiempo completo.

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