${?}^{15}$ given in the table below

$500$ ormaments at the beginning of Quarter $1,$ and HomeDecor wants at least $1,000$ ormaments in the inventory at the end of Quatra $4$

Formulate this problem as a linear program that minimize the total production cost

Variable Definitions:

$\backslash$table$[[$Let$,$pt denote the number of ornaments to produce in quarter $t,$ where $t=1,2,3,4$