For Problems $2,3,$ and $4$ below, use the following Nvidia option chain $($NVDA $=$$$875)$:

$\backslash$table$[[$Strike Price,$\backslash$table$[[1-$month$],[$Call Option$],[$Premium$]],\backslash$table$[[1-$month$],[$Put Option$],[$Premium$]]],[800,101\mathrm{.}29,24\mathrm{.}00],[810,94\mathrm{.}80,27\mathrm{.}57],[820,90\mathrm{.}31,30\mathrm{.}43],[830,84\mathrm{.}11,34\mathrm{.}85],[840,78\mathrm{.}00,39\mathrm{.}43],[850,73\mathrm{.}00,43\mathrm{.}80],[860,67\mathrm{.}85,50\mathrm{.}05],[870,63\mathrm{.}96,56\mathrm{.}61],[880,59\mathrm{.}00,61\mathrm{.}61],[890,55\mathrm{.}40,67\mathrm{.}05],[900,51\mathrm{.}00,71\mathrm{.}40],[910,48\mathrm{.}86,73\mathrm{.}90],[920,44\mathrm{.}00,79\mathrm{.}80],[930,40\mathrm{.}95,88\mathrm{.}25],[940,38\mathrm{.}85,94\mathrm{.}00],[950,36\mathrm{.}05,100\mathrm{.}55]]$

$(25$ Points$)$ Create a "zero$-$cost$,"1-$month, long collar for $1,000$ shares of NVDA stock using the options above. The continuously compounded risk$-$free rate is $6\mathrm{.}00\%.$

Explain what the goal of this trade is and show the breakeven stock price, and the prices where the trade is profitable and unprofitable.

Note: there are several possible answers to this question and a net cost $$$$1\mathrm{.}00$ is acceptable.