Household Inc. produces two types of wooden essentials called Widgets and Gadgets. These differ with respect to shape and size. Each requires a certain amount of labor time and wood. Due to limited resources $,$ the total length of Wood available is $5000$ feet long, and the total labor is $4000$ hours. The operation cost per unit of Widget is $ $0\mathrm{.}75,$ and that of Gadget is $$1\mathrm{.}40.$ Each unit of Widget will sell for $$3\mathrm{.}00,$ and Gadget for $$4\mathrm{.}00.$ The objective function is the total profit from producing widgets and gadgets $.$ The objective function coefficients are the per$-$ unit profit of widgets and gadgets $.$ This LP problem is solved using Solver add$-$in$.$ Answer the question below using the screenshot below $.6$ Variable Cells $78$ Cell Name $9$ B$$10$ Widgets Number produced $10$ B$$11$ Gadgets Number produced Final Value Reduced Objective Allowable Allowable Cost Coefficient Increase Decrease $2\mathrm{.}252\mathrm{.}950\mathrm{.}9502\mathrm{.}61\mathrm{.}91\mathrm{.}47510002000$ If the unit profit from gadgets is $4\mathrm{.}6$ instead of $2\mathrm{.}6,$ would the optimal solution stay the same $?$ No Yes