Value of a mixed stream$$Harte$$ Systems, Inc., a maker of

electronic surveillance$$ equipment, is considering selling to a$$

well$-$known hardware chain the rights to market its home security

system. The proposed deal calls for the hardware chain to pay Harte

$$$$28,000$ and $$$$29,000$ at the end of years $1$ and $2$ and to make

annual$$ year$-$end payments of $$$$14,000$ in years $3$ through $9.$ A final

payment to Harte of $$$$15,000$ would be due at the end of year

$10.$a$.$Select the time line that represents the cash flows involved

in the offer.b$.$If Harte applies a required rate of return of $11\%$ to$$ them,

what is the present value of this series of$$ payments?c$.$A second company has offered Harte an immediate$$ one$-$time

payment of $$$$110$ comma $000$ for the rights to market the home

security system. Which offer should Harte$$ accept?